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On lattice properties of epigroups. / Shevrin, L. N.; Ovsyannikov, A. J.
в: Algebra Universalis, Том 59, № 1-2, 01.11.2008, стр. 209-235.

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Harvard

Shevrin, LN & Ovsyannikov, AJ 2008, 'On lattice properties of epigroups', Algebra Universalis, Том. 59, № 1-2, стр. 209-235. https://doi.org/10.1007/s00012-008-2112-y

APA

Vancouver

Shevrin LN, Ovsyannikov AJ. On lattice properties of epigroups. Algebra Universalis. 2008 нояб. 1;59(1-2):209-235. doi: 10.1007/s00012-008-2112-y

Author

Shevrin, L. N. ; Ovsyannikov, A. J. / On lattice properties of epigroups. в: Algebra Universalis. 2008 ; Том 59, № 1-2. стр. 209-235.

BibTeX

@article{ed6ec0570e1e4234a0897a8b617c483a,
title = "On lattice properties of epigroups",
abstract = "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.",
author = "Shevrin, {L. N.} and Ovsyannikov, {A. J.}",
year = "2008",
month = nov,
day = "1",
doi = "10.1007/s00012-008-2112-y",
language = "English",
volume = "59",
pages = "209--235",
journal = "Algebra Universalis",
issn = "0002-5240",
publisher = "Birkhauser Verlag Basel",
number = "1-2",

}

RIS

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.

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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