On Regular Elements in an Incline
نویسندگان
چکیده
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.
منابع مشابه
EP - Elements in an Incline
Inclines are additively idempotent semi rings in which products are less than or equal to either factor.The Characterization of EP elements, Product of EP elements in an incline with involution are obtained as a generalization and development of EP elements in a *regular ring and of EP elements in a reflexive semi group. Mathematics Subject Classification: 16Y60, 15A09
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2010 شماره
صفحات -
تاریخ انتشار 2010