منابع مشابه
On skew Armendariz and skew quasi-Armendariz modules
Let $alpha$ be an endomorphism and $delta$ an $alpha$-derivationof a ring $R$. In this paper we study the relationship between an$R$-module $M_R$ and the general polynomial module $M[x]$ over theskew polynomial ring $R[x;alpha,delta]$. We introduce the notionsof skew-Armendariz modules and skew quasi-Armendariz modules whichare generalizations of $alpha$-Armendariz modules and extend thecla...
متن کاملz-weak ideals and prime weak ideals
In this paper, we study a generalization of z-ideals in the ring C(X) of continuous real valued functions on a completely regular Hausdorff space X. The notion of a weak ideal and naturally a weak z-ideal and a prime weak ideal are introduced and it turns out that they behave such as z-ideals in C(X).
متن کاملProperties of Armendariz Rings and Weak Armendariz Rings
We consider some properties of Armendariz and rigid rings. We prove that the direct product of rigid (weak rigid), weak Armendariz rings is a rigid (weak rigid), weak Armendariz ring. On the assumption that the factor ring R/I is weak Armendariz, where I is nilpotent ideal, we prove that R is a weak Armendariz ring. We also prove that every ring isomorphism preserves weak skew Armendariz struct...
متن کاملon skew armendariz and skew quasi-armendariz modules
let $alpha$ be an endomorphism and $delta$ an $alpha$-derivationof a ring $r$. in this paper we study the relationship between an$r$-module $m_r$ and the general polynomial module $m[x]$ over theskew polynomial ring $r[x;alpha,delta]$. we introduce the notionsof skew-armendariz modules and skew quasi-armendariz modules whichare generalizations of $alpha$-armendariz modules and extend thecla...
متن کاملon skew armendariz and skew quasi-armendariz modules
let $alpha$ be an endomorphism and $delta$ an $alpha$-derivationof a ring $r$. in this paper we study the relationship between an$r$-module $m_r$ and the general polynomial module $m[x]$ over theskew polynomial ring $r[x;alpha,delta]$. we introduce the notionsof skew-armendariz modules and skew quasi-armendariz modules whichare generalizations of $alpha$-armendariz modules and extend thecla...
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ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 2012
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-012-0658-5