Results 61 to 70 of about 1,179,667 (236)
Topologies on the torsion-theoretic spectrum of a noncommutative ring
Let jβ-sp be the collection of all prime torsion theories on the category of left i?-modules over an associative ring R. Three topologies — the order topology, the finitary order topology, and the reverse order topology (in the case that R is left ...
J. Golan
semanticscholar +1 more source
Noncommutative rings of order p4
AbstractEvery finite ring can be written as a direct sum of rings which have prime power orders. Consequently, questions about finite rings often reduce to questions about rings with order pn for some prime p. This paper describes all the isomorphism classes of noncommutative rings with unity and order p4.
Paul S. Peck, J.B. Derr, G.F. Orr
openaire +2 more sources
A note on a pair of derivations of semiprime rings
We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z(R), and let f, g be derivations of R such that f(x)x+xg(x)∈Z(R) for all x∈R, then f and g are ...
Muhammad Anwar Chaudhry, A. B. Thaheem
doaj +1 more source
Finite homomorphic images of Bezout duo-domains
It is proved that for a quasi-duo Bezout ring of stable range 1 the duo-ring condition is equivalent to being an elementary divisor ring. As an application of this result a couple of useful properties are obtained for finite homomorphic images of Bezout ...
O.S. Sorokin
doaj +1 more source
Twists of twisted generalized Weyl algebras
Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley +1 more source
Naive Noncommutative Blowing Up [PDF]
Let B(X,L,s) be the twisted homogeneous coordinate ring of an irreducible variety X over an algebraically closed field k with dim X > 1. Assume that c in X and s in Aut(X) are in sufficiently general position.
Keeler, D. S.+2 more
core +1 more source
A Tour of Noncommutative Spectral Theories [PDF]
This is a survey of noncommutative generalizations of the spectrum of a ring, written for the Notices of the American Mathematical Society.
Manuel Reyes
semanticscholar +1 more source
Preservation for generation along the structure morphism of coherent algebras over a scheme
Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley +1 more source
On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature [PDF]
We compute higher order contributions to the free energy of noncommutative quantum electrodynamics at a nonzero temperature $T$. Our calculation includes up to three-loop contributions (fourth order in the coupling constant $e$).
Affleck+26 more
core +2 more sources
Convex Portrait in a Self‐Mirror: Social Dissonance and Social Synthesis
ABSTRACT Social dissonance is both a form of practice, an effect of that practice‐ the furthering of the already present socially dissonant effect/affect‐, and a specific score, proposing possible kinds of action to an audience to bring about the consciousness of their own unfreedom‐ or, more radically, the consciousness of their unconsciousness.
Jean‐Pierre Caron
wiley +1 more source