On Regular Elements in an Incline

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...

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Bibliographic Details
Main Authors: A. R. Meenakshi, S. Anbalagan
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2010/903063
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