Rings Graded By a Generalized Group

The aim of this paper is to consider the ringswhich can be graded by completely simple semigroups.We show that each G-graded ring has an orthonormal basis, where G is a completely simple semigroup. Weprove that if I is a complete homogeneous ideal of a G-graded ring R, then R/I is a G-graded ring.We...

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Bibliographic Details
Main Authors: Fatehi Farzad, Molaei Mohammad Reza
Format: Article
Language:English
Published: De Gruyter 2014-01-01
Series:Topological Algebra and its Applications
Subjects:
Online Access:https://doi.org/10.2478/taa-2014-0005