幂等元为本原的半群

Semigroups Whose Idempotents Are Primitive

对幂等元是本原的半群进行了讨论．特别地，证明了非零幂等元是本原的Ｅ－逆半群是一个ＴＥ－半群关于半群Ｓ的理想扩张，而半群Ｓ是完全０－单半群的０－直并关于一个ＴＥ－半群的理想扩张．

Semigroups whose non zero idempotents are primitive are considered . Especially, E inverse semigroups whose non zero idempotents are primitive are proved to be an ideal extension of a TE semigroup by a semigroups, which is an ideal extension of a 0 direct union of completely 0 simple semigroups by a TE semigroup.