Results 211 to 220 of about 1,179,667 (236)
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On efficient noncommutative polynomial factorization via higman linearization
Electron. Colloquium Comput. Complex., 2022In this paper we study the problem of efficiently factorizing polynomials in the free noncommutative ring F⟨x1,x2,...,xn⟩ of polynomials in noncommuting variables x1,x2,...,xn over the field F.
V. Arvind, Pushkar S. Joglekar
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The commuting graph of the ring M3(Fq)
Linear and multilinear algebra, 2022Let R be a noncommutative ring with unity and $ Z(R) $ Z(R) be its centre. The commuting graph of R denoted by $ \Gamma (R) $ Γ(R) is a graph whose vertices are noncentral elements of R and two distinct vertices x and y are adjacent if and only if xy ...
H. Dorbidi, R. Manaviyat
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Some results in noncommutative ring theory
, 2006In this paper we survey some results on the structure of noncommutative rings. We focus particularly on nil rings, Jacobson radical rings and rings with finite Gelfand–Kirillov dimension. Mathematics Subject Classification (2000).
Agata Smoktunowicz
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Mathematics of the USSR-Sbornik, 1993
The concept of a Prufer ring is generalized to orders in simple Artinian rings so that the new concept gives a minimal class of rings closed under Morita equivalence, but in the commutative case does not extend the class of Prufer domains.In §1 this problem is solved and some elementary properties of noncommutative Prufer rings are given.
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The concept of a Prufer ring is generalized to orders in simple Artinian rings so that the new concept gives a minimal class of rings closed under Morita equivalence, but in the commutative case does not extend the class of Prufer domains.In §1 this problem is solved and some elementary properties of noncommutative Prufer rings are given.
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Factorization of elements in noncommutative rings, II
Communications in Algebra, 2017The mathematical object that describes the factorizations of an element a of an arbitrary ring R is the partially ordered set of all principal right ideals of R that contain aR. We present a hierarchy of situations that depend on the structure of this partially ordered set and describe the factorizations of a.
Alberto Facchini, Martino Fassina
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Noncommutative G-hereditary rings
Journal of Algebra and Its Applications, 2020In this paper, we introduce and study left (right) [Formula: see text]-hereditary rings over any associative ring, and these rings are exactly [Formula: see text]-hereditary rings defined by Mahdou and Tamekkante provided that [Formula: see text] is a commutative ring.
Yuxian Geng +3 more
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Noncommutative Valuation Rings
1988Various possible versions of noncommutative valuation rings and their applications are discussed.
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The Radical Formula for Noncommutative Rings
Ukrainian Mathematical Journal, 2020We determine some classes of left modules satisfying the radical formula in a noncommutative ring. We also show that, under a certain condition, a finitely generated module over an HNP -ring (a generalization of the Dedekind domain) both satisfies the radical formula and can be decomposed into a direct sum of torsion and extending modules.
O. Öneş, M. Alkan
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LCD and ACD codes over a noncommutative non-unital ring with four elements
Cryptography and Communications, 2021Minjia Shi +3 more
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A first course in noncommutative rings
, 2002This text, drawn from the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-term course in basic ring theory.
T. Lam
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