Title of article :
I×C-Semirings
Author/Authors :
Deldar ، Forough Department of Mathematics - Faculty of Mathematics - K. N. Toosi University of Technology , Ghalandarzadeh ، Shaban Department of Mathematics - Faculty of Mathematics - K. N. Toosi University of Technology , Namdari ، Mehrdad Department of Mathematics - Faculty of Mathematics - Shahid Chamran University of Ahvaz
Abstract :
A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, -semirings, and give some properties of von Neumann regular -semirings.
Keywords :
Almost p.p. semiring , Complemented , Idempotent , p.p. semiring , von Neumann regular
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
