Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/102185
Title: | On congruence lattices of nilsemigroups |
Authors: | Popovich, A. L. Jones, P. R. |
Issue Date: | 2017 |
Publisher: | Springer New York LLC |
Citation: | Popovich A. L. On congruence lattices of nilsemigroups / A. L. Popovich, P. R. Jones. — DOI 10.1007/s00233-016-9837-2 // Semigroup Forum. — 2017. — Vol. 95. — Iss. 2. — P. 314-320. |
Abstract: | We prove that the congruence lattice of a nilsemigroup is modular if and only if the width of the semigroup, as a poset, is at most two, and distributive if and only if its width is one. In the latter case, such semigroups therefore coincide with the nil Δ -semigroups. It is further shown that if a finitely generated nilsemigroup has modular congruence lattice, then the semigroup is finite. © 2016, Springer Science+Business Media New York. |
Keywords: | CONGRUENCE LATTICE DISTRIBUTIVE MODULAR NILSEMIGROUP |
URI: | http://elar.urfu.ru/handle/10995/102185 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 84995784645 |
WOS ID: | 000413680900006 |
PURE ID: | 0fab0527-4e9b-4885-8ff1-a7756e84c6d8 2211972 |
ISSN: | 371912 |
DOI: | 10.1007/s00233-016-9837-2 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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