69
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

On Generalized Orthodox Transversals

Pages 1431-1447 | Received 06 Sep 2011, Published online: 07 Dec 2013
 

Abstract

Generalized orthodox transversals are introduced in this article, and some characterizations associated with them are obtained. The related results of Chen on quasi-ideal orthodox transversals obtained in 1999 and Zhang and Wang on generalized inverse transversals obtained in 2008 are generalized and amplified. A structure theorem of a regular semigroup with a perfect generalized orthodox transversal is also established.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The author would like to express his sincere thanks to Professor Victoria Gould and the referees for their important and constructive modifying suggestions.

The author is a postdoctoral researcher of the Postdoctoral Station of Qufu Normal University. The research is partially supported by China Postdoctoral Science Foundation (2013M541883), RFDP (20133705120002), Science and Technology Project in University of Shandong Province (J13L107), Doctoral Scientific Research Start Foundation of Qufu Normal University, Scientific Research Foundation of Qufu Normal University (XJ201215), Mathematical Tianyuan Foundation of China (No. 11126186), Shandong Provincial NSF (No. ZR2011AM013, ZR2010AL010).

Notes

Communicated by V. Gould.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.