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纯正的群的正则带的半格结构

SEMILATTICE STRUCTURE OF REGULAR ORTHOCRYPTOGROUPS
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摘要 在给出纯正的群的正则带这类半群的若干特征后 ,建立了纯正的群的正则带的HG_强半格结构及纯正的群的右拟正规带的LG_强半格结构定理 . The aim of this paper is to study regularorthocryptogroups. After obtaining some characteristics of such semigroups, theorems of H G _strong semilattice decomposition of regular orthocryptogroups and L G _strong semilattice decomposition of right quasinormal orthocryptogroups are established. It is a generalization of Petrich's strong semilattice decomposition of normal orthocryptogroups.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2002年第4期39-42,共4页 Journal of Qufu Normal University(Natural Science)
关键词 完全正则半群 正则带 纯正 同态 自然偏序 强半格结构 右拟正规带 半格分解 completely regular semigroup regular band orthodox homomorphism natural partial order
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参考文献4

  • 1[1]Petrich M, Reilly N. Completely Regular Semigroups[M]. New York: John Wiley & Sons, Inc, 1999.
  • 2[2]Kong X Z, Shun K P. On the structure of regularcrypto semigroups[J]. Communications in Algebra, 2001,29(6) :2461~2479.
  • 3[3]Howie J M. An Introduction to Senigroup Theory[M]. London: Academic Press, 1976.
  • 4[4]Petrich M. Lectures in Semigroups[M]. Berlin: John Wiley & Sons, Academic-Verlag, 1977.

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