半群O_(n,r)的秩  

On the Rank of Semigroup O_(n,r)

作　　者：腾文[1] 游泰杰[2] 张宇[1] 

机构地区：[1]贵州财经大学数学与统计学院,贵州贵阳550025 [2]贵州师范大学数学与计算机科学学院,贵州贵阳550001

出　　处：《信阳师范学院学报（自然科学版）》2013年第4期473-476,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11171243)

摘　　要：设X n为n元全序集,O n为X n上的保序全变换半群.引入了一类新的O n的子半群O n,r,描述了半群O n,r的最大正则子半群结构特征.进一步地,通过对其最大正则子半群的分析,刻画了半群O n,r的生成秩.所得结果推广了有关文献中相应的结论.Let Xn be the totally ordered set of n element and On be the order-preserving transformation semigroup of Xn, a new class subsemigroups On, of semigroup 0n was introduced. The structure characteristic of the largest regular subsemigroup of semigroup On. was characterized. Moreover, the generated rank of semigroup On, was characterized by analyzing the largest regular subsemigroup. The obtained results developed the corresponding conclusions of other rele- vant literatures.

关 键 词：保序变换半群 正则性 秩 

分 类 号：O152.7[理学—数学]