Results 11 to 20 of about 3,283 (203)
Brown-McCoy Radical in Restricted Graded Version
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 Some conjectures related to the radical theory of rings are still open. Hence, the research on the radical theory of rings is still being investigated by some prominent authors.
Puguh Wahyu Prasetyo
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A question on McCoy rings [PDF]
Bulletin of the Australian Mathematical Society, 2007 Nelsen [J. Algebra 298 (2006) 134–141] asked whether there is a natural class of McCoy rings which includes all reversible rings and all rings R such that R[X] is semi-commutative. In this paper, some new equivalent conditions of McCoy rings are given. One of them is used to answer this question in the affirmative. Finally, an example is given which is
Lei, Zhen, Chen, Jianlong, Ying, Zhiling
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On a generalization of NC-McCoy rings [PDF]
Miskolc Mathematical Notes, 2017 In the present paper we concentrate on a natural generalization of NC-McCoy rings that is called J-McCoy and investigate their properties. We prove that local rings are J-McCoy. Also, for an abelian ring R, we show that R is J-McCoy if and only if eR is J-McCoy, where e is an idempotent element of R.
Sahebi, Shervin +2 more
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Enumeration of some matrices and free linear codes over commutative finite local rings
Special Matrices, 2021 Let R be a commutative finite local ring. Two enumeration problems over R are presented. We enumerate the matrices over R with a given McCoy rank and a given number of rows of single unit, and the free linear codes over R which have a given rank and a ...
Sirisuk Siripong
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Hacettepe Journal of Mathematics and Statistics, 2022 The main goal of this paper is to study the class of countably $\mathcal {A}$-rings (or the countably McCoy rings) introduced by T. Lucas in [The diameter of a zero divisor graph, J. Algebra 301, 174-193, 2006] which turns out to lie properly between the class of $ \mathcal{A}$-rings (or McCoy rings) and the class of total-$\mathcal{A}$-rings. Also, we
Samir BOUCHİBA +2 more
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Composite Hurwitz Rings as PF-Rings and PP-Rings
Mathematics, 2020 Let R ⊆ T be an extension of commutative rings with identity and H ( R , T ) (respectively, h ( R , T ) ) the composite Hurwitz series ring (respectively, composite Hurwitz polynomial ring).
Dong Kyu Kim, Jung Wook Lim
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Journal of Pure and Applied Algebra, 2008 Let \(R[x]\) be a polynomial ring over a ring \(R\). Then \(R\) is called a right McCoy (respectively left McCoy) ring if \(f(x)g(x)=0\) for each \(f(x),g(x)\neq 0\in R[x]\) implies that \((f(x))r=0\) for some \(r\neq 0\in R\) (respectively \(rg(x)=0\)), a McCoy ring is both left and right McCoy. The authors show some standard ring theoretic properties
Camillo, Victor, Nielsen, Pace P.
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Publications de l'Institut Mathematique, 2014 Let ? be an endomorphism of a ring R. We introduce the notion of weak ?-skew McCoy rings which are a generalization of the ?-skew McCoy rings and the weak McCo rings. Some properties of this generalization are established, and connections of properties of a weak ?-skew McCoy ring R with n ? n upper triangular Tn(R) are investigated.
Nikmehr, M. J., Nejati, A., Deldar, M.
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On a generalization of McCoy Rings
, 2014 We introduce Central McCoy rings, which are a generalization of McCoy rings and investigate their properties. For a ring R, we prove that R is right Central McCoy if and only if the polynomial ring R[x] is right Central McCoy. Also, we give some examples to show that if R is right Central McCoy, then Mn(R) and Tn(R) are not necessary right Central ...
Mehrabadi, Mohammad Vahdani +2 more
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Multidimensional Cellular Micro‐Compartments to Model Invasive Lobular Carcinoma Dormancy
Advanced Healthcare Materials, EarlyView.Invasive lobular carcinoma (ILC) is an understudied subtype of breast cancer that is susceptible to late recurrences. In this study, micro‐compartmentalization techniques spanning multiple dimensions, including 2D, pseudo‐3D, and 3D, are integrated to uncover the mechanisms underlying ILC dormancy, revealing the central role of p27Kip1.
Xilal Y. Rima +15 more
wiley +1 more source