共查询到20条相似文献,搜索用时 31 毫秒
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Ying-Ying Feng 《代数通讯》2013,41(4):1449-1465
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Xilin Tang 《代数通讯》2013,41(11):5439-5461
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《代数通讯》2013,41(7):3061-3110
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Chen Chengdong 《代数通讯》2013,41(1):193-208
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Let S be a semigroup and 𝔽 be a field. For an ideal J of the semigroup algebra 𝔽[S] of S over 𝔽, let ?J denote the restriction (to S) of the congruence on 𝔽[S] defined by the ideal J. A semigroup S is called a permutable semigroup if α ○ β = β ○ α is satisfied for all congruences α and β of S. In this paper we show that if S is a semilattice or a rectangular band then φ{S; 𝔽}: J → ?J is a homomorphism of the semigroup (Con(𝔽[S]); ○ ) into the relation semigroup (?S; ○ ) if and only if S is a permutable semigroup. 相似文献
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Piotr Ossowski 《代数通讯》2013,41(10):3765-3768