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完全α-绝对纯幺半群 被引量:3

COMPLETELY α ABSOLUTELY PURE MONOIDS
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摘要 本文研究完全α-绝对纯幺半群,给出了这类半群的内部刻划定理.[1-3]中关于完全内射幺半群的结论以及[4]中关于完全右纯幺半群的结论都是该定理的直接推论. This paper is devoted to study completely α- absolutely pure monoids. We give a characterization of these monoids in terms of right ideals and right congruences. Some results about completely right injective monoids and about completely right pure monoids are direct corollaries of our discussions.
作者 刘仲奎 李方
出处 《数学杂志》 CSCD 1998年第2期191-195,共5页 Journal of Mathematics
基金 国家自然科学基金 甘肃省自然科学基金
关键词 绝对纯幺半群 幺半群 完全右内射 右S系 system of equations α-absolutely pure S act completely α absolutely pure monoid
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  • 1Feller E H, Gantos R L. Completely injeetive semigroups with centeal idempotents[J]. Glasgow Math j, 1969(10) 16-20.
  • 2Gould V A R. Completely right pure monoids[J]. Proc R Ir Acad,1987(87A):73-82.
  • 3Fountain J. Completely right injeetive semigroups[J]. Proc London Math Soc ,1974,27.28-44.
  • 4Fountain J. Perfect semigroups[J]. Proc Edinburgh Math Soc,1976,20(2)87-93.
  • 5FOUNTAIN J B.Completely right injective semigroups[J].Proc London Math Soc,1974,28(3):28-44
  • 6GOULD V A R.Completely right pure monoids[J].Proc Royal Irish Acad,1987,87A(1):73-82
  • 7LIU Z K,AHSAN J.Completely right injective monoids[M]// SHUM K P,GUO Y Q,ITO M.Semigroups.Singapore:Springer-Verlag,1998
  • 8GOULD V A R.The characterization of monoids by properties of their S-systems[J].Semigroup Forum,1985,32:251-265
  • 9NORMAK P.Purity in the category of M-sets[J].Semigroup Forum,1980,20:157-170
  • 10BERTHIAUME P.The injective hull of S-sets[J].Can Math Bull,1967,10:261-273

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