Proper hypersubstitutions of some generalizations of lattices and Boolean algebras

Zyta Szylicka

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 3, page 251-266
  • ISSN: 0232-0525

How to cite

top

Szylicka, Zyta. "Proper hypersubstitutions of some generalizations of lattices and Boolean algebras." Mathematica Slovaca 47.3 (1997): 251-266. <http://eudml.org/doc/34459>.

@article{Szylicka1997,
author = {Szylicka, Zyta},
journal = {Mathematica Slovaca},
keywords = {hypersubstitution; proper hypersubstitution; variety; lattice; Boolean algebra},
language = {eng},
number = {3},
pages = {251-266},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Proper hypersubstitutions of some generalizations of lattices and Boolean algebras},
url = {http://eudml.org/doc/34459},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Szylicka, Zyta
TI - Proper hypersubstitutions of some generalizations of lattices and Boolean algebras
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 3
SP - 251
EP - 266
LA - eng
KW - hypersubstitution; proper hypersubstitution; variety; lattice; Boolean algebra
UR - http://eudml.org/doc/34459
ER -

References

top
  1. BURRIS S.-SANKAPPANAVAR H. P., A Course in Universal Algebra, Springer-Verlag, Berlin-New York, 1981. (1981) Zbl0478.08001MR0648287
  2. DENECKE K.-REICHEL M., Monoids of hyper substitutions and M-solid varieties, In: Contributions to General Algebra 9, Verlag Holder-Pichler-Tempsky, Wien, 1995, pp. 117-126. (1995) MR1484431
  3. GLAZEK K., Weak homomorphisms of general algebras and related topics, Math. Seminar Notes 8 (1980), 1-36. (1980) Zbl0435.08002MR0590163
  4. GRACZYNSKA E., On normal and regular identities and hyperidentities, In: Universal and Applied Algebra (K. Halkowska, B. Stawski, eds.), World Sci. Publ., Singapore, 1989, pp. 107-135. (1989) Zbl0747.08006MR1084399
  5. GRACZYNSKA, E-KELLEY D.-WINKLER P., On the regular part of varieties of algebras, Algebra Universalis 23 (1986), 77-84. (1986) MR0873598
  6. GRACZYNSKA, E-SCHWEIGERT D., Hyperidentities of a given type, Algebra Universalis 27 (1990), 305-318. (1990) MR1058476
  7. KOLIBIAR M., Weak homomorphisms in some classes of algebras, Studia Sci. Math. Hungar. 19 (1984), 413-420. (1984) Zbl0608.08002MR0874509
  8. PŁONKA J., On method of constructions of abstract algebras, Fund. Math. 61 (1967), 183-189. (1967) MR0225701
  9. PŁONKA J., On varieties of algebras defined by identities of some special forms, Houston J. Math. 14 (1988), 253-263. (1988) Zbl0669.08006MR0978732
  10. PŁONKA J., Biregular and uniform identities of algebras, Czechoslovak Math. J. 40 (115) (1990), 367-387. (1990) Zbl0728.08005MR1065017
  11. PŁONKA J., On hyperidentities of some varieties, In: General Algebra and Discrete Mathematics (K. Denecke, O. Liiders, eds.), Heldermann Verlag, Berlin, 1995, pp. 199-213. (1995) Zbl0813.08004MR1336164
  12. PŁONKA J., Free algebras over biregularizations of varieties, In: Proceedings of the Conference "Algebra and Combinatorics, Interactions and Applications", Koningstein, 6-12 March 1994 (To appear). (1994) 
  13. PŁONKA J., Proper and inner hyper substitutions of varieties, In: Summer School on General Algebra and Ordered Sets 1994. Proceedings of the International Conference, Palacky University, Olomouc, 1994, pp. 106-115. (1994) 
  14. PŁONKA J.-ROMANOWSKA A., Semilattice sums, In: Universal Algebra and Quasigroup Theory (A. Romanowska, J. Smith, eds.), Heldermann Verlag, Berlin, 1992, pp. 123-158. (1992) Zbl0802.08001MR1191231
  15. PŁONKA J.-SZYLICKA Z., Proper hyper substitutions of the join of independent varieties, Disscuss. Math., Algebra and Stochastic Methods 15 (1995), 127-134. (1995) MR1369634
  16. SZYLICKA Z., Proper hyper substitutions of normalizations and externalizations of varieties, In: Summer School on General Algebra and Ordered Sets 1994. Proceedings of the International Conference, Palacky University, Olomouc, 1994, pp. 144-155. (1994) 
  17. SZYLICKA Z., Proper hyper substitutions of outerizations of varieties, Disscuss. Math., Algebra and Stochastic Methods 15 (1995), 69-80. (1995) MR1369629
  18. TAYLOR W., Hyperidentities and hypervarieties, Aequationes Math. 23 (1981), 30-49. (1981) Zbl0491.08009MR0667216

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.