Biregular and uniform identities of algebras

Jerzy Płonka

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 3, page 367-387
  • ISSN: 0011-4642

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Płonka, Jerzy. "Biregular and uniform identities of algebras." Czechoslovak Mathematical Journal 40.3 (1990): 367-387. <http://eudml.org/doc/13859>.

@article{Płonka1990,
author = {Płonka, Jerzy},
journal = {Czechoslovak Mathematical Journal},
keywords = {regular identity; biregular identity; uniform identity; equational base},
language = {eng},
number = {3},
pages = {367-387},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Biregular and uniform identities of algebras},
url = {http://eudml.org/doc/13859},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Płonka, Jerzy
TI - Biregular and uniform identities of algebras
JO - Czechoslovak Mathematical Journal
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 3
SP - 367
EP - 387
LA - eng
KW - regular identity; biregular identity; uniform identity; equational base
UR - http://eudml.org/doc/13859
ER -

References

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  2. C. Birkhoff, 10.1090/S0002-9904-1944-08235-9, Bull. Amer. Math. Soc. 50 (1944) 764-768. (1944) Zbl0060.05809MR0010542DOI10.1090/S0002-9904-1944-08235-9
  3. S. Burris H. P. Sankappanavar, A Course in Universal Algebra, Springer-Verlag, New York-Heidelberg-Berlin 1981. (1981) Zbl0478.08001MR0648287
  4. A. H. Clifford, Semigroups Admitting Relative Inverses, Annales of Mathematics, vol.42, No.4, 1941. (1941) Zbl0063.00920MR0005744
  5. A. H. Clifford, 10.1090/S0002-9939-1954-0062119-9, Proc. Amer. Math. Soc., 5, (499-504), 1954. (1954) Zbl0055.25001MR0062119DOI10.1090/S0002-9939-1954-0062119-9
  6. E. Craczynska, 10.1007/BF01194544, Algebra Universalis, 17 (1983), 369-375. (1983) MR0729944DOI10.1007/BF01194544
  7. M. Hall, The Theory of Groups, The Macmillan Company, New York, 1959. (1959) Zbl0084.02202MR0103215
  8. R. John, On Classes of Algebras Definable by Regular Equations, Colloq. Math., 36 (1976), 17-21. (1976) Zbl0355.08003MR0424645
  9. B. Jónsson E. Nelson, 10.1007/BF02485701, Algebra Universalis, 4 (1974), 14-19. (1974) Zbl0319.08002MR0360406DOI10.1007/BF02485701
  10. H. Lakser R. Padmanabhan C. R. Platt, 10.1215/S0012-7094-72-03954-3, Duke. Math. J., vol. 39, No 3 (1972), pp. 485-488. (1972) Zbl0248.08007MR0304281DOI10.1215/S0012-7094-72-03954-3
  11. R. Padmanabhan, 10.1090/S0002-9947-1971-0281661-3, Trans. Amer. Math. Soc., 158 (1971), 179-188. (1971) Zbl0249.06005MR0281661DOI10.1090/S0002-9947-1971-0281661-3
  12. J. Plonka, On a Method of Construction of Abstract Algebras, Fund. Math., 61 (1967), 183-189. (1967) Zbl0168.26701MR0225701
  13. J. Plonka, On Equational Classes of Abstract Algebras Defined by Regular Equations, Fund. Math., 64 (1969), 241-247. (1969) Zbl0187.28702MR0244133
  14. J. Plonka, On Varieties of Algebras Defined by Identities of Some Speical Forms, Houston Journal of Mathematics, 14 (1988), 253-263. (1988) Zbl0669.08006MR0978732
  15. J. Plonka, 10.1002/mana.3210630126, Mathematische Nachrichten, 63 (1974), 303-305. (1974) Zbl0289.08002MR0360414DOI10.1002/mana.3210630126
  16. J. Pionka, Biregular and Uniform Identities in Bisemilattices, Demonstratio Mathematica, Vol. XX, No 1-2, 1987, 95- 108. (1987) 
  17. J. Plonka, On the Sum of a System of Disjoint Unary Algebra Corresponding to a Given Type, Bull. Acad. Polish. Sc., Vol. XXX, No 7-8, 1982. (1982) Zbl0506.08004MR0707740
  18. A. Tarski, Equational Logic and Equational Theories of Algebras in Contributions to Mathematical Logic, Colloquium, Hannover, 1966, Nort-Holland, Amsterdam, 1968, 275-288. (1966) MR0237410

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