On synchronized relatively full embeddings and 𝒬 -universality

V. Koubek; J. Sichler

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2008)

  • Volume: 49, Issue: 4, page 289-306
  • ISSN: 1245-530X

How to cite

top

Koubek, V., and Sichler, J.. "On synchronized relatively full embeddings and $\mathcal {Q}$-universality." Cahiers de Topologie et Géométrie Différentielle Catégoriques 49.4 (2008): 289-306. <http://eudml.org/doc/91742>.

@article{Koubek2008,
author = {Koubek, V., Sichler, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {quasivariety; -universality; almost full embedding; relatively full embedding; ff-alg-universality},
language = {eng},
number = {4},
pages = {289-306},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On synchronized relatively full embeddings and $\mathcal \{Q\}$-universality},
url = {http://eudml.org/doc/91742},
volume = {49},
year = {2008},
}

TY - JOUR
AU - Koubek, V.
AU - Sichler, J.
TI - On synchronized relatively full embeddings and $\mathcal {Q}$-universality
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2008
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 49
IS - 4
SP - 289
EP - 306
LA - eng
KW - quasivariety; -universality; almost full embedding; relatively full embedding; ff-alg-universality
UR - http://eudml.org/doc/91742
ER -

References

top
  1. [1] J. Adámek, H. Herrlich and G. E. Strecker, Abstract and Concrete Categories, Wiley, New York, 1990. Zbl0695.18001MR1051419
  2. [2] M. E. Adams, K. V. Adaricheva, W. Dziobiak, and A. V. Kravchenko, Some open questions related to the problem of Birkhoff and Maltsev, Studia Logica 78 (2004), 357-378. Zbl1105.08007MR2108035
  3. [3] M. E. Adams and W. Dziobiak, Q-universal quasivarieties of algebras, Proc. Amer. Math. Soc. 120 (1994), 1053-1059. Zbl0810.08007MR1172942
  4. [4] M. E. Adams and W. Dziobiak, Finite-to-finite universal quasivarieties are Q-universal, Algebra Universalis 46 (2001), 253-283. Zbl1059.08002MR1835799
  5. [5] M. E. Adams and W. Dziobiak, Endomorphism monoids of monadic Boolean algebras, Algebra Universalis 57 (2007), 131-142. Zbl1132.06009MR2369177
  6. [6] M. Demlová and V. Koubek, Weaker universalities in semigroup varieties, Novi Sad J. Math 34 (2004), 37-86. Zbl1212.20076MR2136462
  7. [7] M. Demlová and V. Koubek, Weak alg-universality and Q-universality of semigroups quasivarieties, Comment. Math. Univ. Carolin. 46 (2005), 257-279. Zbl1120.20059MR2176891
  8. [8] M. Demlová and V. Koubek, On universality of semigroup varieties, Arch. Mathematicum 42 (2006), 357-386. Zbl1152.20046MR2283018
  9. [9] W. Dziobiak, On subquasivariety lattices of some varieties related with distributive p-algebras, Algebra Universalis 21 (1985), 205-214. Zbl0589.08007MR835971
  10. [10] W. Dziobiak, The subvariety lattice of the variety of distributive double p-algebras, Bull. Austral. Math. Soc. 31 (1985), 377-387. Zbl0579.06012MR801597
  11. [11] P. Goralčík, V. Koubek and J. Sichler, Universal varieties of (0,1)-lattices, Canad. J. Math. 42 (1990), 470-490. Zbl0709.18003MR1062740
  12. [12] G. Grätzer and J. Sichler, On the endomorphism semigroup (and category) of bounded lattices, Pacific J. Math. 35 (1970), 639-647. Zbl0208.02602MR277442
  13. [13] Z. Hedrlín and J. Lambek, How comprehensive is the category of semigroups ?, J. Algebra 11 (1969), 195-212. Zbl0206.02505MR237611
  14. [14] H. Herrlich, Topologische Reflexionen und Coreflexionen, Spriger-Verlag, Berlin, Heidelberg, New York, 1968. Zbl0182.25302MR256332
  15. [15] V. Koubek and J. Sichler, Almost universal varieties of monoids, Algebra Universalis 19 (1984), 330-334. Zbl0551.20047MR779149
  16. [16] V. Koubek and J. Sichler, Almost ff-universality implies Q-universality, to appear in Applied Categorical Structures. Zbl1182.08006MR2545828
  17. [17] L. Kučera, On the monoids of homomorphisms of semigroups with unity, Comment. Math. Univ. Carolin. 23 (1982), 369-381. Zbl0504.18003MR664982
  18. [18] A. Pultr and V. Trnková, Combinatorial, Algebraic and Topological Representations of Groups, Semigroups and Categories, North Holland, Amsterdam, 1980. Zbl0418.18004MR563525
  19. [19] M. V. Sapir, The lattice of quasivarieties of semigroups, Algebra Universalis 21 (1985), 172-180. Zbl0599.08014MR855737
  20. [20] J. Sichler, Non-constant endomorphisms of lattices, Proc. Amer. Math. Soc. 34 (1972), 67-70. Zbl0249.06003MR291032

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.