Результаты исследований: Вклад в журнал › Статья › Рецензирование
Результаты исследований: Вклад в журнал › Статья › Рецензирование
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TY - JOUR
T1 - On lattice properties of epigroups
AU - Shevrin, L. N.
AU - Ovsyannikov, A. J.
PY - 2008/11/1
Y1 - 2008/11/1
N2 - The structure of an epigroup with upper semimodular subepigroup lattice is described modulo groups. A special case is distinguished when this lattice belongs to a quasivariety contained in the variety of all modular lattices. It is also shown that certain properties of epigroups are invariant under taking a lattice isomorphic epigroup; this takes place, in particular, for epigroups decomposable into a semilattice of archimedean epigroups and for some types of archimedean epigroups.
AB - The structure of an epigroup with upper semimodular subepigroup lattice is described modulo groups. A special case is distinguished when this lattice belongs to a quasivariety contained in the variety of all modular lattices. It is also shown that certain properties of epigroups are invariant under taking a lattice isomorphic epigroup; this takes place, in particular, for epigroups decomposable into a semilattice of archimedean epigroups and for some types of archimedean epigroups.
UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000260538400014
UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=56049123613
U2 - 10.1007/s00012-008-2112-y
DO - 10.1007/s00012-008-2112-y
M3 - Article
VL - 59
SP - 209
EP - 235
JO - Algebra Universalis
JF - Algebra Universalis
SN - 0002-5240
IS - 1-2
ER -
ID: 38605222