Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Transparency of Ore extensions over left σ-(S,1) rings
Authors: Vijay Kumar Bhat, Pradeep Singh, Arun Dutta
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Abstract
Let $R$ be a ring and $\sigma$ be an endomorphism of $R$. Recall that a ring $R$ is said to be a left $\sigma$-$(S,1)$ ring if for $a,b\in R$, $ab=0$ implies that $aRb=0$ and $\sigma(a)Rb=0$. In this paper we discuss a stronger type of primary decomposition (known as transparency) of a left $\sigma$-$(S,1)$ ring $R$, and Ore extension $R[x;\sigma]$.School of Mathematics, SMVD University
Katra, India-182320 E-mail:
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Katra, India-182320 E-mail:
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Fulltext
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Contents
- Properties of generalized semi-ideal-based zero-divisor graph of posets
- Transparency of Ore extensions over left σ-(S,1) rings
- Properties of annihilator graph of a commutative semigroup
- Regularized gradient-projection algorithm for solving one-parameter nonexpansive semigroup, constrained convex minimization and generalized equilibrium problems
- On pseudo-injective and pseudo-projective modules
- Integral equations in identification of external force and heat source density dynamics
- Professor Mihail Popa 70th anniversary
- Professor Dmitrii Lozovanu 70th anniversary
