Decidability and structure
Banach Center Publications (1999)
- Volume: 46, Issue: 1, page 125-135
- ISSN: 0137-6934
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topIdziak, Paweł. "Decidability and structure." Banach Center Publications 46.1 (1999): 125-135. <http://eudml.org/doc/208917>.
@article{Idziak1999,
author = {Idziak, Paweł},
journal = {Banach Center Publications},
keywords = {finitely decidable varieties; universal algebra; decidability; locally finite varieties; finitely generated varieties; varieties of finite type},
language = {eng},
number = {1},
pages = {125-135},
title = {Decidability and structure},
url = {http://eudml.org/doc/208917},
volume = {46},
year = {1999},
}
TY - JOUR
AU - Idziak, Paweł
TI - Decidability and structure
JO - Banach Center Publications
PY - 1999
VL - 46
IS - 1
SP - 125
EP - 135
LA - eng
KW - finitely decidable varieties; universal algebra; decidability; locally finite varieties; finitely generated varieties; varieties of finite type
UR - http://eudml.org/doc/208917
ER -
References
top- [1] S. Burris and R. McKenzie, Decidability and Boolean Representation, Memoirs Amer. Math. Soc., 246(1981). Zbl0483.03019
- [2] S. Burris and H. P. Sankappanavar, A Course in Universal Algebra, Springer Verlag 1981.
- [3] S. Burris, R. McKenzie and M. Valeriote, Decidable discriminator varieties from unary varieties, Journal of Symbolic Logic, 56(1991), 1355-1368. Zbl0747.08008
- [4] S. D. Comer, Elementary properties of structures of sections, Bol. Soc. Mat. Mexicana, 19(1974), 78-85. Zbl0338.02032
- [5] A. Ehrenfeucht, Decidability of the theory of one function, Notices Amer. Math. Soc., 6(1959), 268.
- [6] R. Freese and R. McKenzie, Commutator theory for congruence modular varieties, London Math. Soc. Lecture Notes, 125, 1987. Zbl0636.08001
- [7] H. P. Gumm, Geometrical methods in congruence modular varieties, Memoirs Amer. Math. Soc., 289(1983). Zbl0547.08006
- [8] J. Hagemann and C. Herrmann, A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity, Archive der Mathematik, 32(1979), 234-245. Zbl0419.08001
- [9] D. Hobby and R. McKenzie, The Structure of Finite Algebras, Amer. Math. Soc., Contemporary Mathematics Volume 76, Providence, 1988. Zbl0721.08001
- [10] K. Idziak and P. M. Idziak, Decidability problem for finite Heyting algebras, Journal of Symbolic Logic, 53(1988), 729-735. Zbl0664.06008
- [11] P. M. Idziak, Reduced sub-powers and the decision problem for finite algebras in arithmetical varieties, Algebra Universalis, 25(1988), 365-383. Zbl0671.03004
- [12] P. M. Idziak, Varieties with decidable finite algebras I: linearity, Algebra Universalis, 26(1989), 234-246. Zbl0679.08002
- [13] P. M. Idziak, Varieties with decidable finite algebras II: permutability, Algebra Universalis, 26(1989), 247-256. Zbl0679.08003
- [14] P. M. Idziak, Sheaves in universal algebra and model theory, Part I, Reports on Mathematical Logic, 23(1989), 39-65. Zbl0746.03036
- [15] P. M. Idziak, Sheaves in universal algebra and model theory, Part II, Reports on Mathematical Logic, 24(1990), 61-86. Zbl0761.03013
- [16] P. M. Idziak, A characterization of finitely decidable congruence modular varieties, Trans. Amer. Math. Soc., 349(1997), 903-934. Zbl0861.08009
- [17] P. M. Idziak and M. Valeriote, A property of the solvable radical in finitely decidable varieties. manuscript 1992. Zbl0996.08007
- [18] P. M. Idziak and M. Valeriote, The centralizer in finitely decidable varieties. manuscript 1996. Zbl0996.08007
- [19] J. Jeong, On finitely decidable varieties, Ph.D. Thesis, Univ. California, Berkeley, 1991.
- [20] J. Jeong, Finitary decidability implies permutability for congruence modular varieties, Algebra Universalis, 29(1992), 441-448. Zbl0761.08003
- [21] J. Jeong, Finitely decidable congruence modular varieties, Trans. Amer. Math. Soc., 339(1993), 623-642. Zbl0788.08004
- [22] J. Jeong, Type 2 subdirectly irreducible algebras in finitely decidable varieties, Journal of Algebra, 174(1995), 772-793. Zbl0831.08004
- [23] I. A. Lavrov, Effective inseparability of the sets of identically true formulae and finitely refutable formulae for certain elementary theories, (Russian) Algebra i Logika, 2(1963), 5-18.
- [24] R. McKenzie and M. Valeriote, The Structure of Decidable Locally Finite Varieties, Birkhäuser, Boston, 1989. Zbl0702.08001
- [25] F. Point, Problèmes de décidabilité pour les théories de modules, Bull. Soc. Math. Belg. Ser. B, 38(1986), 58-74. Zbl0612.03018
- [26] F. Point, Decidability questions for theories of modules, Proc. of Logic Colloquium '90 (Helsinki, 1990), Lecture Notes in Logic, vol. 2, pp. 266-280, Springer, Berlin, 1993. Zbl0795.03016
- [27] F. Point and M. Prest, Decidability for theories of modules, J. London Math. Soc. (2), 38(1988), 193-206. Zbl0667.03028
- [28] M. Prest, Model theory and modules, London Math. Soc. Lecture Notes, 130, 1988.
- [29] M. Prest, Wild representation type and undecidability, Comm. Algebra, 19(1991), 919-929. Zbl0735.16011
- [30] M. O. Rabin, Decidability of second order theories and automata on infinite trees, Trans. Amer. Math. Soc., 141(1969), 1-35. Zbl0221.02031
- [31] J. D. H. Smith, Malcev Varieties, Lectures Notes in Mathematics, vol.554, Springer Verlag 1976.
- [32] W. Szmielew, Elementary properties of Abelian groups, Fund. Math., 55(1955), 203-271. Zbl0064.00803
- [33] A. Tarski, Arithmetical classes and types of Boolean algebras, Bull. Amer. Math. Soc., 55(1949), 64.
- [34] M. Valeriote, On decidable locally finite varieties, Ph.D. Thesis, Univ. California, Berkeley, 1986
- [35] M. Valeriote, On solvable congruences in finitely decidable varieties, Mathematical Logic Quarterly, 40(1994), 398-414. Zbl0811.08003
- [36] M. Valeriote and R. Willard, Some properties of finitely decidable varieties, International Journal of Algebra and Computation, 2(1992), 89-101. Zbl0759.08007
- [37] M. Valeriote and R. Willard, Discriminating varieties, Algebra Universalis, 32(1994), 177-188. Zbl0814.08008
- [38] H. Werner, Discriminator Algebras, Studien zur Algebra und ihre Anwendungen, Band 6, Akademie-Verlag, Berlin 1978.
- [39] R. Willard, Decidable discriminator varieties from unary classes, Trans. Amer. Math. Soc., 336(1993), 311-333. Zbl0776.03013
- [40] R. Willard, Decidable discriminator varieties with lattice stalks, Algebra Universalis, 31(1994), 177-194. Zbl0810.08005
- [41] R. Willard, Hereditary undecidability of some theories of finite structures, Journal of Symbolic Logic, 59(1994), 1254-1262. Zbl0815.03029
- [42] A. P. Zamyatin, A prevariety of semigroups whose elementary theory is solvable, Algebra and Logic, 12(1973), 233-241.
- [43] A. P. Zamyatin, Varieties of associative rings whose elementary theory is decidable, Soviet Math. Dokl., 17(1976), 996-999. Zbl0356.02041
- [44] A. P. Zamyatin, A non-Abelian variety of groups has an undecidable elementary theory, Algebra and Logic, 17(1978), 13-17. Zbl0427.03009
- [45] A. P. Zamyatin, Prevarieties of associative rings whose elementary theory is decidable, Soviet Math. Dokl., 19(1978), 890-901. Zbl0427.03019
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