Results 211 to 220 of about 1,200,355 (273)

Noncommutative G-hereditary rings

Journal of Algebra and Its Applications, 2020
In 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.
Li, Yunxia, Wang, Jian, Geng, Yuxian, Hu, Jiangsheng   +3 more
openaire   +1 more source

On clean and regular elements of noncommutative ring extensions

Communications in Algebra, 2019
Let R be an associative ring with identity and α be an endomorphism of R. In this article, we are interested to study the some of relations between a ring R and that of D. A. Jordan’s construction of the ring A(R,α) as well as the skew Laurent polynomial
E. Hashemi, M. Hamidizadeh, A. Alhevaz
semanticscholar   +1 more source

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.
Andr'es Chac'on, A. Reyes
semanticscholar   +1 more source

On noncommutative FGC rings

Journal of Algebra and Its Applications, 2015
Many studies have been conducted to characterize commutative rings whose finitely generated modules are direct sums of cyclic modules (called FGC rings), however, the characterization of noncommutative FGC rings is still an open problem, even for duo rings.
Ghorbani, A., Naji Esfahani, M.
openaire   +1 more source

Noncommutative G-semihereditary rings

Journal of Algebra and Its Applications, 2018
In this paper, we introduce and study left (right) [Formula: see text]-semihereditary rings over any associative ring, and these rings are exactly [Formula: see text]-semihereditary rings defined by Mahdou and Tamekkante provided that [Formula: see text] is a commutative ring. Some new characterizations of left [Formula: see text]-semihereditary rings
Wang, Jian, Li, Yunxia, Hu, Jiangsheng
openaire   +1 more source

On efficient noncommutative polynomial factorization via higman linearization

Computational Complexity, 2022
In 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
semanticscholar   +1 more source

NONCOMMUTATIVE PRÜFER RINGS

Mathematics of the USSR-Sbornik, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On noncommutative Pr�fer rings

Archiv der Mathematik, 1986
A noncommutative ring without zero divisors is called a Prüfer ring if its lattice of right ideals and its lattice of left ideals is distributive. A method is given to construct Prüfer rings, which are subrings of k(x,\(\sigma)\), the field of fractions of the skew polynomial ring k[x,\(\sigma\) ].
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Noncommutative elementary divisor rings

Journal of Mathematical Sciences, 1999
The authors consider a Bézout domain with unit, i.e., a domain where an arbitrary finitely generated ideal is a principal one-sided ideal. The authors cite a series of assertions describing new classes of noncommutative elementary divisor domains.
Gatalevich, A. I., Zabavskij, B. V.
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The Radical Formula for Noncommutative Rings

Ukrainian Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Öneş, O., Alkan, M.
openaire   +2 more sources