Results 51 to 60 of about 704,075 (198)
Some results on the total zero-divisor graph of a commutative ring [PDF]
Arab Journal of Mathematical SciencesPurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
doaj +1 more source
Stability in Commutative Rings
TURKISH JOURNAL OF MATHEMATICS, 2020 Summary: Let \(R\) be a commutative ring with zero-divisors and \(I\) an ideal of \(R\). \(I\) is said to be ES-stable if \(JI = I^2\) for some invertible ideal \(J\subseteq I\), and \(I\) is said to be a weakly ES-stable ideal if there is an invertible fractional ideal \(J\) and an idempotent fractional ideal \(E\) of \(R\) such that \(I = JE\).
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An Innovative Approach to Multi‐Valued Logic
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley +1 more source
Fitting ideals and module structure [PDF]
, 2002 Let R be a commutative ring with a 1. Original work by H. Fitting showed how we can associate to each finitely generated E-module a unique sequence of R-ideals, which are known as Fitting Ideals. The aim of this thesis is to undertake an investigation of
Grime, Peter John
core
Journal of the Korean Mathematical Society, 2016 The authors define a ring \(R\) (associative with identity) to be \textit{quasi-commutative} if \(ab\) is in the center of \(R\) for all \(a\in C_{f(x)}\) and \(b\in C_{g(x)}\) whenever \(f(x)\) and \(g(x)\) are in the center of the polynomial ring \(R[x]\). Here \(C_{h(x)}\) denotes the set of all coefficients of the polynomial \(h(x)\).
Jung, Da Woon +7 more
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High Voltage, EarlyView.ABSTRACT The alternate arm converter (AAC) is one of the most efficient multilevel topologies based on voltage source converters (VSCs), which has recently gained attention in various applications, particularly in high voltage direct current (HVDC) systems.
Ehsan Akbari, Milad Samady Shadlu
wiley +1 more source
Application Status and Development Trends of DC Ice‐Melting Devices in China's Power Grid
IET Smart Energy Systems, EarlyView.This paper summarises the development history and engineering application status of DC ice‐melting devices (DCIMD) in China, analyses the principles, advantages, disadvantages and adaptability of mainstream topologies and discusses the key problems and corresponding improvement directions.
Ming Lei +6 more
wiley +1 more source
$(\delta, 2)$-primary ideals of a commutative ring [PDF]
, 2020 summary:Let $R$ be a commutative ring with nonzero identity, let $\mathcal {I(R)}$ be the set of all ideals of $R$ and $\delta \colon \mathcal {I(R)}\rightarrow \mathcal {I(R)}$ an expansion of ideals of $R$ defined by $I\mapsto \delta (I)$. We introduce
Çelikel, Ece Yetkin +2 more
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On commutative endomorphism rings [PDF]
Pacific Journal of Mathematics, 1970 This note deals with a finitely generated faithful module E over a commutative semi-prime noetherian ring R, with commutative endomorphism ring HomJ2(Er, E) = Ω(E). It is shown that E is identifiable to an ideal of R whenever Ω(E) lacks nilpotent elements; a class of examples with Ω(E) commutative but not semi-prime is discussed.
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Z-Polynomials and Ring Commutativity [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2012 We characterise polynomials f with integer coefficients such that a ring with unity R is necessarily commutative if f(x) is central for all x Ɛ R. We also solve the corresponding problem without the assumption that the ring has a unity.
Buckley, Stephen M., McHale, D.
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