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右逆半群上的偏序关系
引用本文:邵勇,赵宪钟.右逆半群上的偏序关系[J].数学季刊,2009,24(2):194-199.
作者姓名:邵勇  赵宪钟
作者单位:Department of Mathematics, Northwest University, Xi'an 710127, China
摘    要:

关 键 词:右逆半群  订单  纯正半群  群同余

Partial Orders on Right Inverse Semigroups
SHAO Yong ZHAO Xian-zhong.Partial Orders on Right Inverse Semigroups[J].Chinese Quarterly Journal of Mathematics,2009,24(2):194-199.
Authors:SHAO Yong ZHAO Xian-zhong
Abstract:It is well known that there exists the smallest inverse semigroup congruence on an orthodox semigroup. We denote by Y the smallest inverse semigroup congruence on an orthodox semigroup. Let S be a fight inverse semigroup. We construct partial orders on S by some kind of its subsemigroups and uncover that partial orders on S have close contact with partial orders on S/Y.
Keywords:right inverse semigroup  partial order  q-subsemigroup  inverse semigroup
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