Štefan Schwarz (1914–1996)

Beloslav Riečan

Czechoslovak Mathematical Journal (1997)

  • Volume: 47, Issue: 2, page 375-382
  • ISSN: 0011-4642

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Riečan, Beloslav. "Štefan Schwarz (1914–1996)." Czechoslovak Mathematical Journal 47.2 (1997): 375-382. <http://eudml.org/doc/30369>.

@article{Riečan1997,
author = {Riečan, Beloslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {Obituary; Bibliography},
language = {eng},
number = {2},
pages = {375-382},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Štefan Schwarz (1914–1996)},
url = {http://eudml.org/doc/30369},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Riečan, Beloslav
TI - Štefan Schwarz (1914–1996)
JO - Czechoslovak Mathematical Journal
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 2
SP - 375
EP - 382
LA - eng
KW - Obituary; Bibliography
UR - http://eudml.org/doc/30369
ER -

References

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  1. On the reducibility of polynomials over an algebraic number field modulo of a prime ideal, Časopis pěst. mat. fyz. 68 (1939), 112–127. (German) (1939) 
  2. A contribution to the reducibility of a polynomial in the theory of congruences, Věstník Král. české spol. nauk 7 (1939), 1–9. (French) (1939) 
  3. On the number of roots and irreducible factors of polynomials over a finite field, Časopis pěst. mat. fyz. 69 (1949), 128–146. (French) (1949) 
  4. On a theorem of S. Lubelski, Časopis pěst. mat. fyz. 69 (1940), 147–150. (German) (1940) 
  5. A contribution to the arithmetic of finite fields, Prírodovedecká príloha Technického obzoru slovenského I (1940), 75–82. (Slovak) (1940) 
  6. A contribution to the theory of congruences, Prírodovedecká príloha Technického obzoru slovenského II (1941), 89–92, 95–100. (Slovak) (1941) 
  7. A contribution to the theory of Galois‘s fields, Prírodovedecká príloha Technického obzoru slovenského III (1942), 1–4. (Slovak) (1942) 
  8. Theory of semigroups, Sborník prác Prírodovedeckej fakulty Slovenskej univerzity VI, Bratislava, 1943, pp. 64. (Slovak) (1943) 
  9. A hyperkomplex proof of the Jordan-Kronecker’s Principle of reduction, Časopis pěst. mat. fys. 71 (1946), 17–21. (1946) MR0020077
  10. A contribution to the reducibility of binomial congruences, Časopis pěst. mat. fys. 71 (1946), 21–32. (Czech) (1946) 
  11. On the extension of the Jordan-Kronecker’s Principle of reduction for inseparable polynomials, Časopis pěst. mat. fys. 73 (1947), 61–64. (1947) Zbl0036.29902MR0022839
  12. On Waring’s Problem for finite fields, Quart. J. Math., Oxford Ser. 19 (1948), 123–128. (1948) Zbl0030.11302MR0024941
  13. On generalization of Jordan-Kronecker’s Principle of reduction, Věstník Král. české spol. nauk 2 (1948), 1–29. (1948) MR0026639
  14. On the equation a 1 x 1 k + a 2 x 2 k ... + a k x k k + b = 0 in finite fields, Quart. J. Math., Oxford Ser. 19 (1948), 160–164. (1948) MR0026065
  15. A contribution to the theory of cyclic fields, Sborník prác SVŠT, Bratislava, 1948, pp. 7. (Slovak) 
  16. On the reducibility of binomial congruences and the least bound of an integer belonging to a given exponent (mod p ), Časopis pěst. mat. fys. 74 (1949), 1–17. (1949) 
  17. On universal forms in finite fields, Časopis pěst. mat. fys. 75 (1950), 45–50. (1950) Zbl0036.29203MR0035306
  18. On the generalization of the notion of a group, Časopis pěst. mat. fys. 74 (1949), 95–113. (Slovak) (1949) 
  19. On equations of the form c 1 x 1 k 1 + c 2 x 2 k 2 + ... + c s x s k s = c in finite fields, Časopis pěst. mat. fys. 74 (1949), 175–176. (Slovak) (1949) 
  20. On the structure of finite semigroups without zeros, Czechoslovak Math. J. 1 (76) (1951), 51–65. (Russian) (1951) 
  21. On the structure of simple semigroups without zero, Czechoslovak Math. J. 1 (76) (1951), 41–53. (1951) Zbl0045.15608MR0048428
  22. On semigroups having a kernel, Czechoslovak Math. J. 1 (76) (1951), 259–301. (Russian) (1951) MR0051221
  23. On semigroups having a kernel, Czechoslovak Math. J. 1 (76) (1951), 229–264. (1951) MR0051221
  24. On the theory of periodic semigroups, Czechoslovak Math. J. 3 (78) (1953), 7–21. (Russian) (1953) 
  25. On maximal ideals in the theory of semigroups I, Czechoslovak Math. J. 3 (78) (1953), 139–153. (Russian) (1953) MR0061591
  26. Maximal ideals and the structure of semigroups, Mat.-fyz. čas. Slovenskej akad. vied 3 (1953), 17–39. (Slovak) (1953) MR0064784
  27. On maximal ideals in the theory of semigroups II, Czechoslovak Math. J. 3 (78) (1953), 365–383. (Russian) (1953) MR0061592
  28. The theory of characters of commutative semigroups, Czechoslovak Math. J. 4 (79) (1954), 219–247. (Russian) (1954) Zbl0059.02003MR0069815
  29. Characters of commutative semigroups as class funcions, Czechoslovak Math. J. 4 (79) (1954), 291–295. (Russian) (1954) MR0069816
  30. On a Galois conection in the theory of characters of semigroups, Czechoslovak Math. J. 4 (79) (1954), 296–313. (Russian) (1954) MR0069817
  31. Characters of commutative semigroups, Proceedings of the International Congress of Mathematicians 1954, Vol. 1, Amsterdam, 1957, pp. 438. (1957) 
  32. On Hausdorff bicompact semigroups, Czechoslovak Math. J. 5 (80) (1955), 1–23. (Russian) (1955) Zbl0068.02301MR0074769
  33. Topological semigroups with one-sided units, Czechoslovak Math. J. 5 (80) (1955), 153–163. (Russian) (1955) Zbl0068.02402MR0074771
  34. Characters of bicompact semigroups, Czechoslovak Math. J. 5 (80) (1955), 24–28. (Russian) (1955) MR0074770
  35. A remark to the theory of bicompact semigroups, Mat.-fyz. čas. Slovenskej akad. vied 5 (1955), 86–89. (Slovak) (1955) MR0077872
  36. On magnifying elements in the theory of semigroups, Doklady Akad. Nauk SSSR 102 (1955), no. 4, 697–698. (Russian) (1955) MR0071710
  37. On a type of universal forms in discretely valued fields, Acta Sci. Math. (Szeged) XVII (1956), no. 1–2, 5–29. (1956) Zbl0072.03504MR0081918
  38. The theory of characters of commutative Hausdorff bicompact semigroups, Czechoslovak Math. J. 6 (81) (1956), 330–364. (1956) MR0092098
  39. Once more on quadratic polynomials with prime values, Časopis pěst. mat. 81 (1956), 241–243 (with Ján Mařík). (Czech) (1956) 
  40. 10.1093/qmath/7.1.110, Quart J. Math., Oxford Ser. 7 (1956), 110–124. (1956) Zbl0071.01703MR0096679DOI10.1093/qmath/7.1.110
  41. Semigroups satisfying some weakened forms of the cancellation laws, Mat.–fyz. čas. Slovenskej akad. vied 6 (1956), 149–158. (Slovak) (1956) MR0091281
  42. On the existence of invariant measures on certain types of bicompact semigroups, Czechoslovak Math. J. 7 (82) (1957), 165–182. (Russian) (1957) MR0089364
  43. On the structure of the semigroup of measures on finite semigroups, Czechoslovak Math. J. 7 (82) (1957), 358–373. (1957) MR0095215
  44. An elementary semigroup theorem and congruence relation of Rédei, Acta Sci. Math. (Szeged) XIX (1958), no. 1–2, 1–4. (1958) 
  45. On the multiplicative semigroup of conguence classes (mod m ), Mat.–fyz. čas. Slovenskej akad. vied 8 (1958), 136–150 (with Bohumír Parízek). (Slovak) (1958) MR0103938
  46. Remarks on compact semigroups, Colloq. Math. (Wroclaw) VI (1958), 265–270 (with Jan Los). (1958) Zbl0086.02203MR0100649
  47. On totally noncommutative semigroups, Mat.-fyz. čas. Slovenskej akad. vied 9 (1959), 92–100 (with Dorota Krajňáková). (Russian) (1959) MR0123629
  48. On dual semigroups, Czechoslovak Math. J. 10 (85) (1960), 201–230. (1960) Zbl0098.01602MR0117294
  49. A theorem on normal semigroups, Czechoslovak Math. J. 10 (85) (1960), 197–200. (1960) Zbl0098.01704MR0116075
  50. Semigroups, in which every proper subideal is a group, Acta Sci. Math. (Szeged) XXI (1960), no. 3–4, 125–134. (1960) Zbl0095.01406MR0130922
  51. On a class of polynomials over a finite field, Mat.-fyz. čas. Slovenskej akad. vied 10 (1960), 68–80. (Russian) (1960) Zbl0104.01603MR0130245
  52. On the number of irreducible factors of a polynomial over a finite field, Czechoslovak Math. J. 11 (86) (1961), 213–225. (Russian) (1961) Zbl0102.25303MR0123558
  53. Semicharacters of the multiplicative semigroup of integers modulo m , Mat.-fyz. čas. Slovenskej akad. vied 11 (1961), 63–74 (with Bohumír Parízek). (1961) MR0139682
  54. Subsemigroups of simple semigroups, Czechoslovak Math. J. 13 (88) (1963), 226–239. (1963) Zbl0122.02402MR0158014
  55. Probabilities on non-commutative semigroups, Czechoslovak Math. J. 13 (88) (1963), 372–426. (1963) Zbl0137.35302MR0160191
  56. Probability measures on non-commutative semigroups, General Topology and its Relations to Modern Analysis and Algebra, Proceedings of the Symposium held in Prague in September 1961, pp. 312–315. Zbl0118.11601
  57. Cyclic matrices and algebraic equations over a finite field., Mat.-fyz. čas. Slovenskej akad. vied 12 (1962), 38–48 (with Kornélia Horáková). (Russian) (1962) Zbl0108.01502MR0159814
  58. A remark on algebraic equations over a finite field, Mat.-fyz. čas. Slovenskej akad. vied 12 (1962), 224–229. (Russian) (1962) MR0157963
  59. Convolution semigroup of measures on compact non-commutative semigroups, Czechoslovak Math. J. 14 (89) (1964), 95–115. (1964) MR0169969
  60. Product decomposition of idempotent measures on compact semigroups, Czechoslovak Math. J. 14 (89) (1964), 121–124. (1964) Zbl0151.18902MR0169970
  61. Homomorphisms of completely simple semigroups onto a group, Mat.-fyz. čas. Slovenskej akad.vied 12 (1962), 293–300. (1962) MR0158942
  62. On a system of congruences. A remark on the preceding paper of J.Sedláček, Mat.-fyz. čas. Slovenskej akad. vied 13 (1963), 103–104. (Slovak) (1963) MR0157931
  63. A semigroup treatment of some theorems on non-negative matrices, Czechoslovak Math. J. 15 (90) (1965), 212–229. (1965) Zbl0232.20139MR0175919
  64. On the structure of the semigroup of stochastic matrices, Publ. of the Math. Inst. Hungarian Acad. Vol. IX, Series A, Fasc. 3 (1965), 297–311. (1965) MR0188337
  65. On powers of non-negative matrices, Mat.-fyz. časopis Slovenskej akad. vied 15 (1965), 215–228. (1965) Zbl0158.28302MR0191987
  66. A remark to the theory of non-negative matrices, Sibir. Math. J. 6 (1965), 207–211. (Russian) (1965) MR0171791
  67. A new approach to some problems in the theory of non-negative matrices, Czechoslovak Math. J. 16 (91) (1966), 274–284. (1966) Zbl0232.20140MR0201452
  68. New kinds of theorems on non-negative matrices, Czechoslovak Math. J. 16 (91) (1966), 285–295. (1966) MR0201453
  69. Some estimates in the theory of non-negative matrices, Czechoslovak Math. J. 17 (92) (1967), 399–407. (1967) Zbl0159.32603MR0217101
  70. A note on the structure of the semigroup of doubly-stochastic matrices, Mat. čas. 17 (1967), 308–316. (1967) Zbl0157.04902MR0241451
  71. On the index of imprimitivity of a non-negative matrix, Acta Sci. Math. (Szeged) 28 (1967), 185–189. (1967) Zbl0232.15004MR0214610
  72. Algebraic considerations on powers of stochastic matrices, Mat. čas. 18 (1968), 218–228. (1968) Zbl0176.30506MR0245605
  73. Prime ideals and maximal ideals in semigroups, Czechoslovak Math. J. 19 (94) (1969), 72–79. (1969) Zbl0176.29503MR0237680
  74. On the semigroup of binary relations on a finite set, Czechoslovak Math. J. 20 (95) (1970), 632–679. (1970) Zbl0228.20034MR0296190
  75. On a sharp estimate in the theory of binary relations on a finite set, Czechoslovak Math. J. 20 (95) (1970), 703–714. (1970) MR0282862
  76. On idempotent relations on a finite set, Czechoslovak Math. J. 20 (95) (1970), 696–702. (1970) MR0268047
  77. 10.1007/BF02572281, Semigroup Forum 2 (1971), 90–92. (1971) MR0281819DOI10.1007/BF02572281
  78. On the structure of dual semigroups, Czechoslovak Math. J. 21 (96) (1971), 461–483. (1971) Zbl0232.20116MR0292982
  79. The semigroup of fully indecomposable relations and Hall relations, Czechoslovak Math. J. 23 (98) (1973), 151–163. (1973) Zbl0261.20057MR0316612
  80. A note on small categories with zero, Acta Sci. Math. (Szeged) 35 (1973), 161–164. (1973) Zbl0273.20048MR0330334
  81. Summs of powers of binary relations, Mat. čas. 24 (1974), 161–171. (Russian) (1974) MR0363909
  82. Circulant Boolean relation matrices, Czechoslovak Math. J. 24 (99) (1974), 252–253. (1974) Zbl0329.20049MR0348018
  83. The ideal structure of C -semigroups, Czechoslovak Math. J. 27 (102) (1977), 313–338. (1977) Zbl0376.20038MR0439961
  84. The semigroup of circulant Boolean matrices, Czechoslovak Math. J. 26 (101) (1976), 632–635 (with Kim H. Butler). (1976) Zbl0347.20037MR0430121
  85. A counting theorem in the semigroup of circulant Booleant matrices, Czechoslovak Math. J. 27 (102) (1977), 504–510. (1977) MR0457603
  86. Semigroups containing maximal ideals, Math. Slovaca 28 (1978), 157–168. (1978) Zbl0378.20047MR0526854
  87. 10.1007/BF02195942, Semigroup Forum 12 (1976), 367–372. (1976) Zbl0337.20025MR0414760DOI10.1007/BF02195942
  88. 10.1007/BF02194330, Semigroup Forum 17 (1979), 307–316. (1979) Zbl0425.20053MR0532422DOI10.1007/BF02194330
  89. The Euler-Fermat Theorem for the semigroup of circulant Boolean matrices, Czechoslovak Math. J. 30 (105) (1980), 135–141. (1980) Zbl0443.20053MR0565916
  90. Infinite products on doubly stochastic matrices, Acta Math. Univ. Comenian. 39 (1980), 131–150. (1980) MR0619269
  91. The role of semigroups in the elementary theory of numbers, Math. Slovaca 31 (1981), 369–395. (1981) Zbl0474.10002MR0637966
  92. An unconventional problem in the elementary theory of numbers, Czechoslovak Math. J. 31 (106) (1981), 159–169. (1981) Zbl0468.10002MR0604122
  93. Extensions of Bauer’s identical congruences, Math. Slovaca 33 (1983), 209–224. (1983) Zbl0519.10003MR0699091
  94. Common consequents in directed graphs, Czechoslovak Math. J. 35 (110) (1985), 212–247. (1985) Zbl0575.05041MR0787126
  95. Fermat’s Theorem for matrices revisited, Math. Slovaca 35 (1985), 343–347. (1985) Zbl0584.15007MR0820630
  96. Right compositions of semigroups, Math. Slovaca 36 (1988), 3–14. (1988) MR0832365
  97. A combinatorial problem arising in finite Markov chains, Math. Slovaca 36 (1986), 199–210. (1986) Zbl0615.15006MR0849711
  98. Semigroups with a universally minimal left ideal, Acta Sci. Math. (Szeged) 52 (1988), 21–28. (1988) Zbl0662.20046
  99. Construction of normal bases in cyclic extensions of a field, Czechoslovak Math. J. 38 (113) (1988), 291–312. (1988) Zbl0671.12006MR0946299
  100. Irreducible polynomials over finite field with linearly independent roots, Math. Slovaca 38 (1988), 147–158. (1988) MR0945368
  101. 10.1007/BF02573616, Semigroup Forum 51 (1995), 1–22. (1995) MR1336994DOI10.1007/BF02573616
  102. Universal formulae of Euler-Fermat type for subsets of Z m , Collect. Math. 46 (1995), no. 1–2, 183–193. (1995) MR1366140
  103. An explicit description of the set of all normal bases generators of a finite fields, Submitted to Czech. Math. J., pp. 13 (with Karol Nemoga). 
  104. On equations, 1st ed., Prague, 1940, pp. 96. (Czech) (1940) 
  105. On equations, 3rd ed., Prague, 1947, pp. 160. (Czech) (1947) 
  106. Algebraic numbers, Přírodovědecké nakl., Prague, 1950, pp. 292. (Slovak) (1950) Zbl0041.01105
  107. The theory of solutions of equations, Nakl. ČSAV, Prague, 1958, pp. 348. (Slovak) (1958) 
  108. The theory of solutions of equations, Vydavateľstvo SAV, 1st ed., Bratislava, 1967, pp. 440. (1967) 

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