M -solid varieties and Q -free clones

Klaus-Dieter Denecke; Kazimierz Głazek

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 5, page 515-524
  • ISSN: 0232-0525

How to cite

top

Denecke, Klaus-Dieter, and Głazek, Kazimierz. "$M$-solid varieties and $Q$-free clones." Mathematica Slovaca 46.5 (1996): 515-524. <http://eudml.org/doc/34447>.

@article{Denecke1996,
author = {Denecke, Klaus-Dieter, Głazek, Kazimierz},
journal = {Mathematica Slovaca},
keywords = {hyperidentity; solid variety; -solid variety; clone},
language = {eng},
number = {5},
pages = {515-524},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {$M$-solid varieties and $Q$-free clones},
url = {http://eudml.org/doc/34447},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Denecke, Klaus-Dieter
AU - Głazek, Kazimierz
TI - $M$-solid varieties and $Q$-free clones
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 5
SP - 515
EP - 524
LA - eng
KW - hyperidentity; solid variety; -solid variety; clone
UR - http://eudml.org/doc/34447
ER -

References

top
  1. ACZEL J., Proof of a theorem of distributive type hyperidentities, Algebra Universalis 1 (1971), 1-6. (1971) MR0288201
  2. BELOUSOV V. D., Systems of quasigroups with generalized identities, Uspekhi Mat. Nauk 20 (1965), 75-146 [Translation: Russian Math. Surveys 20 (1965), 75-143]. (Russian) (1965) Zbl0135.03503MR0173724
  3. BIRKHOFF G.-LIPSON J. D., Heterogeneous algebras, J. Combin. Theory 8 (1970), 115-133. (1970) Zbl0211.02003MR0250887
  4. DENECKE K., Pre-solid varieties, Demonstratio Math. 27 (1994), 741-750. (1994) Zbl0841.08006MR1319418
  5. DENECKE K., Hyper identities and Clones, Manuscript (250 pages), Potsdam, 1995. (1995) 
  6. DENECKE K.-KOPPITZ J., Presolid varieties of commutative semigroups, Tatra Mt. Math. Publ. 5 (1995), 35-41. (1995) MR1384792
  7. DENECKE K.-LAU D.-POSCHEL R.-SCHWEIGERT D., Hyperidentities. hyperequational classes and clone congruences, In: Contributions to General Algebra 7. Wien. Stuttgart, 1991, pp. 97-118. (1991) Zbl0759.08005MR1143072
  8. DENECKE K.-LAU D.-POSCHEL R.-SCHWEIGERT D., Solidifyable clones, In: General Algebra and Applications, Berlin, 1993, pp. 41 69. (1993) Zbl0795.08004MR1209886
  9. DENECKE K.-LAU D.-POSCHEL R.-SCHWEIGERT D., Free clones and solid varieties, In: General Algebra and Discrete Mathematics, Berlin, 1995. pp. 11-69. (1995) Zbl0821.08010MR1336152
  10. DENECKE K.-REICHEL M., Monoids of hyper substitutions and M-solid varieties, In: Contributions to General Algebra 9, Wien, Stuttgart, 1995, pp. 117-126. (1995) MR1484431
  11. GLAZEK K., Independence with respect to family of mappings in abstract algebras, Dissertations Math. (Rozprawy Mat.) 81 (1971). (1971) Zbl0213.29601MR0289396
  12. HIGGINS P. J., Algebras with a scheme of operators, Math. Nachr. 27 (1963). 115-132. (1963) Zbl0117.25903MR0163940
  13. JACOBS E.-SCHWABAUER R., The lattice of equational classes of algebras with one unary operation, Amer. Math. Monthly 71 (1964), 151-155. (1964) Zbl0117.26003MR0162740
  14. LAWVERE F. W., Functorial semantics of algebraic theories, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 869-872. (1963) Zbl0119.25901MR0158921
  15. MARCZEWSKI E., Independence with respect to a family of mappings, Colloq. Math. 20 (1968), 11-17. (1968) MR0241347
  16. NEUMANN W. D., On Mal'cev conditions, J. Austral. Math. Soc. 17 (1977). 376-384. (1977) MR0371781
  17. SCHWEIGERT D., Hyperidentities, In: Algebras and Order, Dordrecht, 1993, pp. 405-500. (1993) Zbl0853.08004MR1233797
  18. TAYLOR W., Characterizing Mal'cev conditions, Algebra Universalis 3 (1973), 351-397. (1973) Zbl0304.08003MR0349537
  19. TAYLOR W., Hyper identities and hypervarieties, Aequationes Math. 23 (1981). 111-127. (1981) MR0667216
  20. TAYLOR W., Abstract clone theory, In: Algebras and Order, Dordrecht. 1993, pp. 507-530. (1993) Zbl0792.08005MR1233798

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.