腾文, 游泰杰, 张宇. 半群On,r的秩[J]. 信阳师范学院学报(自然科学版), 2013, 26(4): 473-476. DOI: 10.3969/j.issn.1003-0972.2013.04.002
引用本文: 腾文, 游泰杰, 张宇. 半群On,r的秩[J]. 信阳师范学院学报(自然科学版), 2013, 26(4): 473-476. DOI: 10.3969/j.issn.1003-0972.2013.04.002
Teng Wen , You Taijie, Zhang Yu. On the Rank of  Semigroup On,r[J]. Journal of Xinyang Normal University (Natural Science Edition), 2013, 26(4): 473-476. DOI: 10.3969/j.issn.1003-0972.2013.04.002
Citation: Teng Wen , You Taijie, Zhang Yu. On the Rank of  Semigroup On,r[J]. Journal of Xinyang Normal University (Natural Science Edition), 2013, 26(4): 473-476. DOI: 10.3969/j.issn.1003-0972.2013.04.002

半群On,r的秩

On the Rank of  Semigroup On,r

  • 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

     

    Abstract:  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,r of  semigroup  On was introduced.  The structure characteristic of  the largest regular subsemigroup of semigroup  On,rwas characterized. Moreover, the generated rank  of  semigroup On,r  was characterized by analyzing the largest regular subsemigroup. The obtained results developed the corresponding conclusions of other relevant literatures.

     

/

返回文章
返回