Results 51 to 60 of about 6,335 (253)
The structure of balanced rings
, 1973 Dlab V, Ringel CM. The structure of balanced rings. Proceedings of the London Mathematical Society.
Dlab, Vlastimil, Ringel, Claus Michael
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Some Examples of BL-Algebras Using Commutative Rings
Mathematics, 2022 BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is to analyze the structure of BL-algebras using commutative rings. Due to computational considerations, we are interested in the finite case.
Cristina Flaut, Dana Piciu
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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
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Pathological modules over tame rings
, 1976 Brenner S, Ringel CM. Pathological modules over tame rings. Journal of the London Mathematical Society.
Ringel, Claus Michael, Brenner, Sheila
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Ring Extensions with Finitely Many Non-Artinian Intermediate Rings
Journal of Mathematics, 2020 The commutative ring extensions with exactly two non-Artinian intermediate rings are characterized. An initial step involves the description of the commutative ring extensions with only one non-Artinian intermediate ring.
Noômen Jarboui +2 more
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High Voltage, EarlyView.ABSTRACT The stability analysis of Line Commutated Converter High Voltage Direct Current (LCC‐HVDC) is of considerable engineering importance. Establishing its analytical mathematical model helps to analyse stability and the factors that affect stability of the system.
Juanjuan Wang +6 more
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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
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On Semiprime Noetherian PI-Rings
, 2000 Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right ...
Chiba, Katsuo
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Remarks on the commutativity of rings [PDF]
Proceedings of the American Mathematical Society, 1959 Introduction. A celebrated theorem of N. Jacobson [7] asserts that if (1) Xn(z) =x for every x in a ring R, where n(x) is an integer greater than one, then R is commutative. In a recent paper [2], I. N. Herstein has shown that it is enough to require that (1) holds for those x in R which are commutators: x= [y, z] =yz-zy of two elements of R.
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