摘要
本文研究了P-反演半群的P-次直积和E-囿P-反演盖.利用P-反演半群的P-次直积的结构,引入了P-反演半群的E-囿P-反演盖概念,并刻画了它们的结构.最后,讨论了P-反演半群到给定群上的囿P-次同态,推广了文献[9]中的一些结果到P-反演半群上.
In this article,we study P-subdirect products and P-unitary P-inversive cover of P-inversive semigroups.By using construction of P-subdirect products of P-inversive semigroups, the concept of E-unitary P-inversive cover of a P-inversive semigroup is introduced and its structure is investigated.Finally,the unitary P-subhomomorphisms of P-inversive semigroups onto a given group are also discussed.Some results of[9]are generalized to P-inversive semigroups.
出处
《数学杂志》
CSCD
北大核心
2010年第3期496-502,共7页
Journal of Mathematics
基金
国家自然科学基金(10871161)
成都信息工程学院科研基金资助
关键词
P-反演半群
P-次直积
满P-次同态
E-囿P-反演盖
P-inversive semigroup
P-subdirect product
surjective P-subhomomorphism
E-unitary P-inversive cover
