M-Solid Subvarieties of some Varieties of Commutative Semigroups

Koppitz, J.

Serdica Mathematical Journal (1997)

  • Volume: 23, Issue: 1, page 25-34
  • ISSN: 1310-6600

Abstract

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∗ The research of the author was supported by the Alexander v. Humboldt-Stiftung.The basic concepts are M -hyperidentities, where M is a monoid of hypersubstitutions. The set of all M -solid varieties of semigroups forms a complete sublattice of the lattice of all varieties of semigroups. We fix some specific varieties V of commutative semigroups and study the set of all M -solid subvarieties of V , in particular, if V is nilpotent.

How to cite

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Koppitz, J.. "M-Solid Subvarieties of some Varieties of Commutative Semigroups." Serdica Mathematical Journal 23.1 (1997): 25-34. <http://eudml.org/doc/11601>.

@article{Koppitz1997,
abstract = {∗ The research of the author was supported by the Alexander v. Humboldt-Stiftung.The basic concepts are M -hyperidentities, where M is a monoid of hypersubstitutions. The set of all M -solid varieties of semigroups forms a complete sublattice of the lattice of all varieties of semigroups. We fix some specific varieties V of commutative semigroups and study the set of all M -solid subvarieties of V , in particular, if V is nilpotent.},
author = {Koppitz, J.},
journal = {Serdica Mathematical Journal},
keywords = {Hypersubstitutions; M-Hyperidentity; M-Solid Subvarieties of Semigroups; lattices of varieties of semigroups; hyperidentities; monoids of hypersubstitutions; varieties of commutative semigroups},
language = {eng},
number = {1},
pages = {25-34},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {M-Solid Subvarieties of some Varieties of Commutative Semigroups},
url = {http://eudml.org/doc/11601},
volume = {23},
year = {1997},
}

TY - JOUR
AU - Koppitz, J.
TI - M-Solid Subvarieties of some Varieties of Commutative Semigroups
JO - Serdica Mathematical Journal
PY - 1997
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 23
IS - 1
SP - 25
EP - 34
AB - ∗ The research of the author was supported by the Alexander v. Humboldt-Stiftung.The basic concepts are M -hyperidentities, where M is a monoid of hypersubstitutions. The set of all M -solid varieties of semigroups forms a complete sublattice of the lattice of all varieties of semigroups. We fix some specific varieties V of commutative semigroups and study the set of all M -solid subvarieties of V , in particular, if V is nilpotent.
LA - eng
KW - Hypersubstitutions; M-Hyperidentity; M-Solid Subvarieties of Semigroups; lattices of varieties of semigroups; hyperidentities; monoids of hypersubstitutions; varieties of commutative semigroups
UR - http://eudml.org/doc/11601
ER -

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