The Experts below are selected from a list of 5754 Experts worldwide ranked by ideXlab platform
Kamal Paykan - One of the best experts on this subject based on the ideXlab platform.
-
some new results on skew inverse Laurent Series rings
2021Co-Authors: Kamal PaykanAbstract:Let R be an associative ring equipped with an automorphism α and an α-derivation δ. Necessary and sufficient conditions are obtained for the skew inverse Laurent Series ring R((x−1; α,δ)) to satisf...
-
a characterization of 2 primal and ni rings over skew inverse Laurent Series rings
2019Co-Authors: Abdolreza Tehranchi, Kamal PaykanAbstract:Let R be an associative ring equipped with an automorphism α and an α-derivation δ. In this note, we characterize when a skew inverse Laurent Series ring R((x−1; α,δ)) and a skew inverse power seri...
-
primitivity of skew inverse Laurent Series rings and related rings
2019Co-Authors: Kamal Paykan, A MoussaviAbstract:The aim of our paper is to study the primitivity of the skew inverse Laurent Series rings R((x−1; α,δ)) and the skew Laurent power Series rings R[[x,x−1; α]], where R is an associative ring equippe...
-
study of skew inverse Laurent Series rings
2017Co-Authors: Kamal Paykan, A MoussaviAbstract:In the present note, we continue the study of skew inverse Laurent Series ring R((x−1; α,δ)) and skew inverse power Series ring R[[x−1; α,δ]], where R is a ring equipped with an automorphism α and ...
A A Tuganbaev - One of the best experts on this subject based on the ideXlab platform.
-
right serial skew Laurent Series rings
2021Co-Authors: A A TuganbaevAbstract:Let A be a ring and φ its automorphism. It is proved that the skew Laurent Series ring A((x,φ)) is a right serial ring if and only if A is a right serial right Artinian ring.
-
right serial skew Laurent Series rings
2020Co-Authors: A A TuganbaevAbstract:Let $A$ be a ring and $\varphi$ its automorphism. It is proved that skew Laurent Series ring $A((x,\varphi ))$ is a right serial ring if and only if $A$ is a right serial right Artinian ring.
-
skew Laurent Series rings and the maximum condition on right annihilators
2008Co-Authors: A A TuganbaevAbstract:Let A be a ring and let ' be an automorphism of A. Then the skew Laurent Series ring A..x; '// is a right serial ring with the maximum condition on right annihilators if and only if A is a right Artinian right serial ring. This research was supported by the Russian Foundation for Basic Research, grant 05-01-01048.
A Moussavi - One of the best experts on this subject based on the ideXlab platform.
-
primitivity of skew inverse Laurent Series rings and related rings
2019Co-Authors: Kamal Paykan, A MoussaviAbstract:The aim of our paper is to study the primitivity of the skew inverse Laurent Series rings R((x−1; α,δ)) and the skew Laurent power Series rings R[[x,x−1; α]], where R is an associative ring equippe...
-
study of skew inverse Laurent Series rings
2017Co-Authors: Kamal Paykan, A MoussaviAbstract:In the present note, we continue the study of skew inverse Laurent Series ring R((x−1; α,δ)) and skew inverse power Series ring R[[x−1; α,δ]], where R is a ring equipped with an automorphism α and ...
-
on skew armendariz of Laurent Series type rings
2012Co-Authors: Mohammad Habibi, A Moussavi, S MokhtariAbstract:Let α be an automorphism of a ring R. We study the skew Armendariz of Laurent Series type rings (α-LA rings), as a generalization of the standard Armendariz condition from polynomials to skew Laurent Series. We study on the relationship between the Baerness and p.p. property of a ring R and these of the skew Laurent Series ring R[[x, x −1; α]], in case R is an α-LA ring. Moreover, we prove that for an α-weakly rigid ring R, R[[x, x −1; α]] is a left p.q.-Baer ring if and only if R is left p.q.-Baer and every countable subset of S l(R) has a generalized countable join in R. Various types of examples of α-LA rings are provided.
Dariush Kiani - One of the best experts on this subject based on the ideXlab platform.
-
on zero divisors in skew inverse Laurent Series over noncommutative rings
2014Co-Authors: Abdollah Alhevaz, Dariush KianiAbstract:In the present note, we continue to study zero-divisor properties of general skew inverse Laurent Series rings R((x −1; σ, δ)), where R is an associative ring equipped with an automorphism σ and a σ-derivation δ. Extending the results of a large number of papers on the McCoy property for ordinary and skew polynomial rings, we study a version of the McCoy property for general skew inverse Laurent Series extensions. We obtain some necessary or sufficient conditions for a ring to be (σ, δ)-SILS McCoy and prove that this property is preserved under a number of ring extensions. In particular, it passes to certain subrings of the (skew-)upper triangular matrix rings. In relation with this work and as an application of (σ, δ)-SILS McCoy rings, we investigate the interplay between the ring-theoretical properties of a general skew inverse Laurent Series ring R((x −1; σ, δ)) and the graph-theoretical properties of its zero-divisor graph .
-
radicals of skew inverse Laurent Series rings
2013Co-Authors: Abdollah Alhevaz, Dariush KianiAbstract:In this note, we continue to study zero-divisor properties of skew inverse Laurent Series rings R((x −1; σ, δ)), where R is an associative ring equipped with an automorphism σ and a σ-derivation δ. We first introduce (σ, δ)-SILS Armendariz rings, a generalization of the standard Armendariz condition from ordinary polynomial ring R[x] to skew inverse Laurent Series ring R((x −1; σ, δ)). We study the ring-theoretical properties of (σ, δ)-SILS Armendariz rings and using the properties of these rings, we characterize radicals of the skew inverse Laurent Series ring R((x −1; σ, δ)), in terms of a (σ, δ)-SILS Armendariz ring R. We also prove that several properties transfer between R and R((x −1; σ, δ)), in case R is an σ-compatible (σ, δ)-SILS Armendariz ring.
Charles E M Pearce - One of the best experts on this subject based on the ideXlab platform.
-
necessary and sufficient conditions for the inversion of linearly perturbed bounded linear operators on banach space using Laurent Series
2011Co-Authors: Amie Albrecht, Phil Howlett, Charles E M PearceAbstract:Abstract Using a Laurent Series representation, we present a detailed discussion of necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space that are singular in the unperturbed state.
-
Laurent Series for inversion of linearly perturbed bounded linear operators on banach space
2010Co-Authors: Phil Howlett, Amie Albrecht, Charles E M PearceAbstract:In this paper we find necessary and sufficient conditions for the existence of a Laurent Series expansion with a finite order pole at the origin for the inverse of a linearly perturbed bounded linear operator mapping one Banach space to another. In particular we show that the inversion defines linear projections that separate the Banach spaces into corresponding complementary subspaces. We present two pertinent applications.