Proper hypersubstitutions of some generalizations of lattices and Boolean algebras

Zyta Szylicka

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 3, page 251-266
  • ISSN: 0139-9918

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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

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  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
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  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

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