Results 21 to 30 of about 387 (117)

Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem, Ramy Abdel-Khalek, Mostafa Hamam   +2 more
doaj   +1 more source

Skew generalized power series Hopfian modules

Arab Journal of Mathematical Sciences, 2016
In this paper we study the transfer of the property of Hopfian modules between the right R-module MR and some of its extension classes. Namely, under certain conditions, we show that: MR is a Hopfian right R-module if and only if the skew generalized ...
Refaat Salem, Mohamed Farahat, Hanan Abd-Elmalk   +2 more
doaj   +1 more source

Smarandache rings [PDF]

, 2002
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core   +1 more source

TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS

, 2010
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly　rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
core   +1 more source

Left APP-property of formal power series rings [PDF]

, 2000
summary:A ring $R$ is called a left APP-ring if the left annihilator $l_R(Ra)$ is right $s$-unital as an ideal of $R$ for any element $a\in R$. We consider left APP-property of the skew formal power series ring $R[[x; \alpha ]]$ where $\alpha $ is a ring
Park, Jae Keol, Liu, Zhongkui, Yang, Xiaoyan, Birkenmeier, Gary F., Kim, Jin Yong   +4 more
core   +1 more source

Skew power series rings with general commutation formula

Theoretical Computer Science, 1992
Let \(K\) be a skew field equipped with an automorphism \(\sigma\) and let \(X\) be some variable. A higher \(\sigma\)-derivation is a sequence \(S = (\delta_ n)_{n \geq 0}\) of additive maps from \(K\) into \(K\) such that one has \(\delta_ 0 = \sigma\) and \((Xk)l = X(kl)\) for every \(k,l\in K\) if we define: \(Xk = \delta_ 0(k)X + \delta_ 1(k)X^ 2 +
openaire   +2 more sources

On McCoy condition and semicommutative rings [PDF]

, 2013
summary:Let $R$ be a ring and $\sigma$ an endomorphism of $R$. We give a generalization of McCoy's Theorem [ Annihilators in polynomial rings, Amer. Math. Monthly 64 (1957), 28--29] to the setting of skew polynomial rings of the form $R[x;\sigma]$.
Louzari, Mohamed, Nasehpour, Peyman
core   +1 more source

Unified Extensions of Strongly Reversible Rings and Links with Other Classic Ring Theoretic Properties

, 2018
Let R be a ring, (M, ≤) a strictly ordered monoid and ω : M → <em>End</em>(R) a monoid homomorphism. The skew generalized power series ring R[[M; ω]] is a compact generalization of (skew) polynomial rings, (skew) power series rings, (skew ...
R. K. Sharma, Amit B. Singh
core   +1 more source

REVERSIBLE SKEW GENERALIZED POWER SERIES RINGS

, 2020
. In this note we show that there exist a semiprime ring R, strictly ordered a.n.u.p. monoid (S, ≤) and a monoid homomorphism ω : S −→ End(R) such that the skew generalized power series ring R[ [S ...
A R Nasr-Isfahani A, B A
core  

Right Gaussian rings and skew power series rings

, 2011
We introduce a class of rings we call right Gaussian rings, defined by the property that for any two polynomials f, g over the ring R, the right ideal of R generated by the coefficients of the product fg coincides with the product of the right ideals ...
Michał Ziembowski, Mazurek, Ryszard, Ziembowski, Michał, Ryszard Mazurek   +3 more
core   +1 more source