On Regular Elements in an Incline
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Inclines are additively idempotent semirings in which products are less than (or) equal to either factor.
Necessary and sufficient conditions for an element in an incline to be regular are obtained.
It is proved that every regular incline is a distributive lattice.
The existence of the Moore-Penrose inverse of an element in an incline with involution is discussed.
Characterizations of the set of all generalized inverses are presented as a generalization and development of regular elements in a ∗-regular ring.
American Psychological Association (APA)
Meenakshi, A. R.& Anbalagan, S.. 2010. On Regular Elements in an Incline. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-506704
Modern Language Association (MLA)
Meenakshi, A. R.& Anbalagan, S.. On Regular Elements in an Incline. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-506704
American Medical Association (AMA)
Meenakshi, A. R.& Anbalagan, S.. On Regular Elements in an Incline. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-506704
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506704
