数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2010年
3期
496-502
,共7页
P-反演半群%P-次直积%满P-次同态%E-囿P-反演盖MR(2000)
P-反縯半群%P-次直積%滿P-次同態%E-囿P-反縯蓋MR(2000)
P-반연반군%P-차직적%만P-차동태%E-유P-반연개MR(2000)
P-inversive semigroup%P-subdirect product%surjective P-subhomomorphism%E-unitary P-inversive cover
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.
本文研究瞭P-反縯半群的P-次直積和E-囿P-反縯蓋.利用P-反縯半群的P-次直積的結構,引入瞭P-反縯半群的E-囿P-反縯蓋概唸,併刻畫瞭它們的結構.最後,討論瞭P-反縯半群到給定群上的囿P-次同態,推廣瞭文獻[9]中的一些結果到P-反縯半群上.
본문연구료P-반연반군적P-차직적화E-유P-반연개.이용P-반연반군적P-차직적적결구,인입료P-반연반군적E-유P-반연개개념,병각화료타문적결구.최후,토론료P-반연반군도급정군상적유P-차동태,추엄료문헌[9]중적일사결과도P-반연반군상.
In this article,we study P-subdirect products and E-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 axe also discussed.Some results of[9]axe generalized to P-inversive semigroups.
