Results 11 to 20 of about 1,179,667 (236)
The Real Spectrum of a Noncommutative Ring
Journal of Algebra, 1997 Spaces of orderings were introduced by the second author in a series of w x papers 15]19 and various structure results were obtained generalizing results proved earlier for formally real fields by various people: E. Becker, w x L. Brocker, R.
Ka Hin Leung +2 more
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S-J-Ideals: A Study in Commutative and Noncommutative Rings
Journal of MathematicsIn this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their ...
Alaa Abouhalaka +2 more
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On r-Noncommuting Graph of Finite Rings [PDF]
Axioms, 2021 Let R be a finite ring and r∈R. The r-noncommuting graph of R, denoted by ΓRr, is a simple undirected graph whose vertex set is R and two vertices x and y are adjacent if and only if [x,y]≠r and [x,y]≠−r.
Rajat Kanti Nath +3 more
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Noncommutative scheme theory and the Serre–Artin–Zhang–Verevkin theorem for semi-graded rings
Journal of Noncommutative Geometry, 2023 In this paper, we present a noncommutative scheme theory for the semi-graded rings generated in degree one defined by Lezama and Latorre [Internat. J. Algebra Comput.
Andrés Chacón, Armando Reyes
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Properties of Primary Noncommutative Rings [PDF]
Transactions of the American Mathematical Society, 1958 E. H. Feller
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Noncommutative Jordan Rings [PDF]
Transactions of the American Mathematical Society, 1971 Heretofore most investigations of noncommutative Jordan algebras have been restricted to algebras over fields of characteristic ≠ 2 \ne 2 in order to make use of the passage from a noncommutative Jordan algebra A \mathfrak {A} to the commutative Jordan algebra
Kevin McCrimmon
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On ring extensions for completely primary noncommutative rings [PDF]
Transactions of the American Mathematical Society, 1962 0. Introduction. It is the authors' purpose in this paper to initiate the study of ring extensions for completely N primary noncommutative rings which satisfy the ascending chain condition for right ideals (A.C.C.). We begin here by showing that every completely N primary ring R with A.C.C. is properly contained in just such a ring.
E. H. Feller, E. W. Swokowski
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A Galois Theory for Noncommutative Rings [PDF]
Transactions of the American Mathematical Society, 1967 hntroduction. In 1944, Jacobson [4] developed a Galois theory for nonnormal and nonseparable fields; and, in 1949, Hochschild [3] used the techniques of Jacobson to present a Galois theory for division rings. These same techniques will be used in this paper to present a Galois theory for rings with identity element.
H. F. Kreimer
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NONCOMMUTATIVE HILBERT RINGS [PDF]
Journal of Algebra and Its Applications, 2004 Commutative rings in which every prime ideal is the intersection of maximal ideals are called Hilbert (or Jacobson) rings. This notion was extended to noncommutative rings in two different ways by the requirement that prime ideals are the intersection of maximal or of maximal left ideals, respectively.
Algirdas Kaučikas, Robert Wisbauer
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Birational rowmotion on a rectangle over a noncommutative ring [PDF]
Combinatorial Theory, 2022 We extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This resolves a conjecture from 2014.
Darij Grinberg, Tom Roby
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