强LR-π-逆半群的半直积和圈积

摘要

引入了强LR-π-逆半群的概念,讨论了2个半群的半直积和囤积,分别给出了2个半群的半直积和圈积是强LR-π-逆半群的充分必要条件.%We introduce the concept of strong left and right π-regular semigroups, and discuss the semidirect product and wreath product of two semigroups. We obtain the necessary and sufficient conditions for both the semidirect product and wreath product of two semigroups to be strong LR-π-inverse semigroups, respectively.