Biregular and uniform identities of algebras

Jerzy Płonka

Czechoslovak Mathematical Journal (1990)

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

How to cite

top

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

top
  1. C. Birkhoff, On the Structure of Abstract Algebras, Proc. Cambridge Phil. Soc. 31 (1935) 433-454. (1935) Zbl0013.00105
  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) MR0648287
  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, 10.4064/cm-36-1-17-21, Colloq. Math., 36 (1976), 17-21. (1976) Zbl0355.08003MR0424645DOI10.4064/cm-36-1-17-21
  9. B. Jónsson E. Nelson, 10.1007/BF02485701, Algebra Universalis, 4 (1974), 14-19. (1974) MR0360406DOI10.1007/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) MR0304281DOI10.1215/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, 10.4064/fm-61-2-183-189, Fund. Math., 61 (1967), 183-189. (1967) Zbl0168.26701MR0225701DOI10.4064/fm-61-2-183-189
  13. J. Plonka, 10.4064/fm-64-2-241-247, Fund. Math., 64 (1969), 241-247. (1969) Zbl0187.28702MR0244133DOI10.4064/fm-64-2-241-247
  14. J. Plonka, On Varieties of Algebras Defined by Identities of Some Speical Forms, Houston Journal of Mathematics, 14 (1988), 253-263. (1988) MR0978732
  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) MR0707740
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.