Annihilator Properties of Skew Monoid Rings |
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| Authors: | M Habibi |
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| Institution: | Department of Pure Mathematics, Faculty of Mathematical Sciences , Tarbiat Modares University , Tehran , Iran |
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| Abstract: | Let R be a ring with an endomorphism σ and F ∪ {0} the free monoid generated by U = {u 1,…, u t } with 0 added, and M a factor of F setting certain monomial in U to 0, enough so that, for some n, M n = 0. In this article, we study various annihilator properties and a variety of conditions and related properties that the skew monoid ring RM; σ] is inherited from R. |
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| Keywords: | Kasch ring Nil radical Quasi-Frobenius ring Skew monoid ring Zip ring |
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