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Результаты исследований: Вклад в журнал › Статья › Рецензирование
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TY - JOUR
T1 - Semiring identities of finite inverse semigroups
AU - Gusev, Sergey V.
AU - Volkov, Mikhail V.
N1 - The authors are grateful to the anonymous referee for their remarks and constructive suggestions. The research presented in this paper was supported by the Russian Science Foundation (grant No. 22-21-00650).
PY - 2023/4/1
Y1 - 2023/4/1
N2 - We study the Finite Basis Problem for finite additively idempotent semirings whose multiplicative reducts are inverse semigroups. In particular, we show that each additively idempotent semiring whose multiplicative reduct is a nontrivial rook monoid admits no finite identity basis, and so do almost all additively idempotent semirings whose multiplicative reducts are combinatorial inverse semigroups.
AB - We study the Finite Basis Problem for finite additively idempotent semirings whose multiplicative reducts are inverse semigroups. In particular, we show that each additively idempotent semiring whose multiplicative reduct is a nontrivial rook monoid admits no finite identity basis, and so do almost all additively idempotent semirings whose multiplicative reducts are combinatorial inverse semigroups.
UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85146564586
UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000920394300001
U2 - 10.1007/s00233-022-10336-9
DO - 10.1007/s00233-022-10336-9
M3 - Article
VL - 106
SP - 403
EP - 420
JO - Semigroup Forum
JF - Semigroup Forum
SN - 0037-1912
IS - 2
ER -
ID: 38481535