Results 41 to 50 of about 1,179,667 (236)
Witt group of Hermitian forms over a noncommutative discrete valuation ring
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Hermitian forms on finitely generated torsion modules over a noncommutative discrete valuation ring. We also give some results for lattices, which still are satisfied even if the base ring is not commutative. Moreover, for a noncommutative
L. Oukhtite
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IACR Cryptology ePrint Archive, 2023 Non-commutative cryptography studies cryptographic primitives and systems which are based on algebraic structures like groups, semigroups and noncommutative rings.
V. Ustimenko
semanticscholar +1 more source
Left Annihilator of Identities with Generalized Derivations in Prime and Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a noncommutative prime ring of char (R) ≠ 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R. Let S ⊆ R.
Rahaman Md Hamidur
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Homological Identities for Noncommutative Rings
Journal of Algebra, 2001 AbstractThe Auslander–Buchsbaum formula and Bass's theorem are proved for a class of nonlocal, noncommutative algebras (including certain affine PI Hopf algebras). We also show that each filtered noetherian affine PI Hopf algebra has finite injective dimension, which partially answers a question of Brown.
Q.-S. Wu, J.J Zhang
openalex +3 more sources
Extension of Almost Primary Ideals to Noncommutative Rings and the Generalization of Nilary Ideals
Mathematics, 2023 In this paper, we introduce the concepts of almost right primary ideals and almost nilary ideals and study their related results. We compare almost right primary ideals with other types of ideals, such as right primary ideals and weakly right primary ...
Alaa Abouhalaka, Şehmus Fındık
semanticscholar +1 more source
Noncommutativity and noncentral zero divisors
International Journal of Mathematics and Mathematical Sciences, 1999 Let R be a ring, Z its center, and D the set of zero divisors. For finite noncommutative rings, it is known that D\Z≠∅. We investigate the size of |D\Z| in this case and, also, in the case of infinite noncommutative rings with D\Z≠∅.
Howard E. Bell, Abraham A. Klein
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Witt Vector Rings and the Relative de Rham Witt Complex [PDF]
, 2015 In this paper we develop a novel approach to Witt vector rings and to the (relative) de Rham Witt complex. We do this in the generality of arbitrary commutative algebras and arbitrary truncation sets.
Cuntz, Joachim, Deninger, Christopher
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ON NONCOMMUTATIVE VNL-RINGS AND GVNL-RINGS [PDF]
Glasgow Mathematical Journal, 2006 It is proved that every abelian VNL-ring is an SVNL-ring, which gives a positive answer to a question of Osba et al. (7). Some characterizations of duo VNL- rings are given and some main results of Osba et al. (7) on commutative VNL-rings are extended to right duo VNL-rings and even abelian GVNL-rings.
Weixing Chen, Wenting Tong
openaire +2 more sources
Journal of Mathematics, 2022 The LA-module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA-rings). Because of peculiar characteristics of LA-ring and its inception into noncommutative and nonassociative theory, drew the ...
Asima Razzaque, Inayatur Rehman
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Topological Hochschild cohomology and generalized Morita equivalence [PDF]
, 2004 We explore two constructions in homotopy category with algebraic precursors in the theory of noncommutative rings and homological algebra, namely the Hochschild cohomology of ring spectra and Morita theory.
Andrew Baker +2 more
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