摘要
证明了在交换半群范畴中，Ａｒｃｈｉｍｅｄｅａｎ半群、Ｅ－可逆半群和伪过半群张量积的封闭性，并给出了两个半群张量积有极大群同态象、极大正则同态象和极大右零半群同态象的若干充分条件．
It is proved that the tensor products of two Archimedean semigroups,the tensor products of two E-inverse semigroups and the tensor product of two pseuoinvertible semigroups are closed in the catergory of commutative semigroups. Some sufficient conditions are given for the tensor product to have maximum group homomorphic image,to have maximum regular homorphic image and to have maximum right zero homomorphic image.
出处
《山东师范大学学报（自然科学版）》
CAS
1996年第1期12-16,共5页
Journal of Shandong Normal University(Natural Science)
基金
国家自然科学基金
关键词
伪逆半群
半群
张量积
极大同态象
Archimedean semigroup
E-inverse semigroup,pseuoinvertible semigroup
tensor product
the maximum δ-class homomorphic image
