关于子直积不可约的广义交换半群

ON SUBDIRECTLY IRREDUCIBLE GENERALIGED COMMUTATIVE SEMIGROUPS

研究了子直积不可约的广义交换半群的结构，作为推论，证明了子直积不可约的广义交换半群要么是交换半群，要么是一个含有零元素且有一个非零析取元素的非交换半群．

This paper studies the structure of subdirctly irreducible generalized commutative semigroups and proves that subdirectly irreducible generalized commutative semigroups are either commutative semigroups or non-commutative semigroups with a zero element and a non-zero disjunctive element.