Results 21 to 30 of about 1,179,667 (236)
On the Noether bound for noncommutative rings [PDF]
Proceedings of the American Mathematical Society, 2021 We present two noncommutative algebras over a field of characteristic zero that each posses a family of actions by cyclic groups of order $2n$, represented in $n \times n$ matrices, requiring generators of degree $3n$.
Kewen Peng +3 more
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Residue complexes over noncommutative rings [PDF]
Journal of Algebra, 2003 Residue complexes were introduced by Grothendieck in algebraic geometry. These are canonical complexes of injective modules that enjoy remarkable functorial properties (traces). In this paper we study residue complexes over noncommutative rings. These objects are even more complicated than in the commutative case, since they are complexes of bimodules.
Amnon Yekutieli, James J. Zhang
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On Semihereditary Noncommutative Polynomial Rings [PDF]
Proceedings of the American Mathematical Society, 1980 McCarthy [4] showed that a polynomial ring over a commutative von Neumann regular ring is semihereditary. Camillo [1] proved the converse. In this paper we examine polynomial rings over von Neumann regular rings which are not necessarily commutative.
P. Pillay
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Idealizer rings and noncommutative projective geometry
Journal of Algebra, 2004 17 Pages, revised version: significant changes--introduction rewritten, new section on tensor products added, main theorem restated at ...
D. Rogalski
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1-absorbing and weakly 1-absorbing prime submodules of a module over a noncommutative ring
Afrika Matematika, 2023 In this study, we aim to introduce the concepts of 1-absorbing prime submodules and weakly 1-absorbing prime submodules of a unital module over a noncommutative ring with nonzero identity.
N. Groenewald
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Noncommutative Anticommutative Rings
Irish Mathematical Society Bulletin, 1987 Abstract included in ...
Stephen M. Buckley, Des MacHale
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Action of the Cremona group on a noncommutative ring
Advances in Mathematics, 2011 AbstractThe Cremona group acts on the field of two independent commutative variables over complex numbers. We provide a noncommutative algebra that is an analog of a noncommutative field of two independent variables and prove that the Cremona group embeds in a group of outer automorphisms of this algebra.
A. Usnich
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The rings of noncommutative projective geometry
, 2002 In the past 15 years a study of ``noncommutative projective geometry'' has flourished. By using and generalizing techniques of commutative projective geometry, one can study certain noncommutative graded rings and obtain results for which no purely algebraic proof is known.
Dennis S. Keeler
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On S-principal right ideal rings
AIMS Mathematics, 2022 Let S be a multiplicative subset of a ring R. A right ideal A of R is referred to as S-principal if there exist an element s∈S and a principal right ideal aR of R such that As⊆aR⊆A.
Jongwook Baeck
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A Note on Amalgamated Rings Along an Ideal
Annales Mathematicae Silesianae, 2021 Ring properties of amalgamated products are investigated. We offer new, elementary arguments which extend results from [5] and [12] to noncommutative setting and also give new properties of amalgamated rings.
Nowakowska Marta
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