Results 31 to 40 of about 1,200,355 (273)

Group actions, orbit spaces, and noncommutative deformation theory; pp. 364–369 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
Consider the action of a group G on an ordinary commutative k-variety X = Spec(A). In this note we define the category of A–G-modules and their deformation theory.
Arvid Siqveland
doaj   +1 more source

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, Andrey Lazarev, Generalized Morita Equivalence   +2 more
core   +3 more sources

Equalizing ideal for integer-valued polynomials over the upper triangular matrix ring [PDF]

ریاضی و جامعه, 2023
Let $D$ be an integral domain and $I$ be an ideal of the upper trangular matrix ring $T_{n}(D)$. In this paper, we study the equalizing ideal$$q_{I}=\{A\in T_n(D)|f(A)-f(0)\in I,\forall f\in {\operatorname{Int}}(T_n(D))\}.$$of the integer-valued ...
Ali Reza Naghipour
doaj   +1 more source

Reverse geometric engineering of singularities [PDF]

, 2002
One can geometrically engineer supersymmetric field theories theories by placing D-branes at or near singularities. The opposite process is described, where one can reconstruct the singularities from quiver theories.
B. Feng, B. Feng, C.E. Beasley, D. Berenstein, D. Berenstein, D. Berenstein, David Berenstein, F. Cachazo, I.R. Klebanov, K. Dasgupta, K. Dasgupta, K.-h. Oh, M.R. Douglas, M.R. Douglas, M.R. Douglas, M.R. Douglas, N. Seiberg, R.C. Myers, S. Katz   +18 more
core   +2 more sources

On inverse protocols of Post Quantum Cryptography based on pairs of noncommutative multivariate platforms used in tandem

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

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
doaj   +1 more source

Generalized differential identities on prime rings and algebras

AIMS Mathematics, 2023
The goal of this study is to bring out the following conclusion. Let $ R $ be a noncommutative prime ring with $ 2(m+n)! $ torsion freeness and let $ m $ and $ n $ be fixed, non-negative integers and $ d, g $ be Jordan derivations on $ R $. If $ x^{m+n}d(
Abu Zaid Ansari , Faiza Shujat, Ahlam Fallatah   +2 more
doaj   +1 more source

Noncommutative generalizations of theorems of Cohen and Kaplansky [PDF]

, 2011
This paper investigates situations where a property of a ring can be tested on a set of "prime right ideals." Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp.
A Kertész, AV Jategaonkar, AV Jategaonkar, AW Goldie, AW Goldie, BL Osofsky, BV Zabavs’kiĭ, D Eisenbud, DV Huynh, EG Evans Jr, G Krause, I Kaplansky, IS Cohen, JA Beachy, JC McConnell, JC Robson, JC Robson, JJ Koker, K Koh, K Koh, KR Goodearl, KR Goodearl, Manuel L. Reyes, ML Reyes, PF Smith, PF Smith, PF Smith, PM Cohn, R Gordon, SA Amitsur, SM Bhatwadekar, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, VR Chandran, VR Chandran   +38 more
core   +2 more sources

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
doaj   +1 more source

Residue complexes over noncommutative rings

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.
Yekutieli, Amnon, Zhang, James J.
openaire   +3 more sources