Generalized Semicommutative and Skew Armendariz Ideals
نویسندگان
چکیده
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 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 کاملGeneralized Skew Derivations on Lie Ideals
In [17] Lee and Shiue showed that if R is a non-commutative prime ring, I a nonzero left ideal of R and d is a derivation of R such that [d(x)x, x]k = 0 for all x ∈ I, where k,m, n, r are fixed positive integers, then d = 0 unless R ∼= M2(GF (2)). Later in [1] Argaç and Demir proved the following result: Let R be a non-commutative prime ring, I a nonzero left ideal of R and k,m, n, r fixed posi...
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 کاملOre extensions of skew $pi$-Armendariz rings
For a ring endomorphism $alpha$ and an $alpha$-derivation $delta$, we introduce a concept, so called skew $pi$-Armendariz ring, that is a generalization of both $pi$-Armendariz rings, and $(alpha,delta)$-compatible skew Armendariz rings. We first observe the basic properties of skew $pi$-Armendariz rings, and extend the class of skew $pi$-Armendariz rings through various ring extensions. We nex...
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ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 2015
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-015-1015-2