Home > Papers

 
 
Regular Semigroups with Perfect Orthodox Transversals
KONG Xiang-Jun 1 * #,WANG Pei 2
1.School of Mathematical Science, Qufu Normal University, Qufu, Shandong 273165
2.School of Software, Qufu Normal University, Qufu, Shandong 273165
*Correspondence author
#Submitted by
Subject:
Funding: Specialized Research Fund for the Doctoral Program of Higher Education（No.20133705120002）, NSFC（No.11471186）, NSF of Shandong Province （No.ZR2016AM02）
Opened online:21 April 2017
Accepted by: none
Citation: KONG Xiang-Jun,WANG Pei.Regular Semigroups with Perfect Orthodox Transversals[OL]. [21 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4725717
 
 
{largef } Suppose that $S$ is a regular semigroup havingan orthodox transversal $S^o$. If both $I$ and $Lambda$ aresubbands of $S$, then $S^o$ is said to be a perfect orthodoxtransversal of $S$. Some equivalent conditions are obtained for an orthodox transversal to be perfect and an example is given to demonstrate thatperfect orthodox transversals are proper generalizations of leftsimplistic orthodox transversals. In this paper, we describe thestructure of regular semigroups with perfect orthodox transversals. As anapplication, we give the structures of regular semigroups withquasi-ideal orthodox transversals.
Keywords:regular semigroup; band; perfect orthodox transversal
 
 
 

For this paper
  • ● PDF (0B)
  • ● Revision 0 　　
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags
Add yours

Related Papers

Statistics
PDF Downloaded 34
Bookmarked 0
Recommend 0
Comments Array
Submit your papers