Results 1 to 10 of about 1,482 (184)
Simple semigroup graded rings [PDF]
, 2013 We show that if R is a, not necessarily unital, ring graded by a semigroup G equipped with an idempotent e such that G is cancellative at e, the nonzero elements of eGe form a hypercentral group and Re has a nonzero idempotent f, then R is simple if and ...
Patrik Nystedt, Johan Oinert
semanticscholar +4 more sources
TWISTS, CROSSED PRODUCTS AND INVERSE SEMIGROUP COHOMOLOGY [PDF]
Journal of the Australian Mathematical Society, 2021 Twisted étale groupoid algebras have recently been studied in the algebraic setting by several authors in connection with an abstract theory of Cartan pairs of rings. In this paper we show that extensions of ample groupoids correspond in a precise manner
B. Steinberg
semanticscholar +1 more source
Hochschild homology of twisted crossed products and twisted graded Hecke algebras [PDF]
Annals of K-theory, 2022 Let A be a \C-algebra with an action of a finite group G, let $\natural$ be a 2-cocycle on $G$ and consider the twisted crossed product $A \rtimes \C [G,\natural]$.
M. Solleveld
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Free division rings of fractions of crossed products of groups with Conradian left-orders [PDF]
Forum mathematicum, 2019 Let D be a division ring of fractions of a crossed product F
J. Grater
semanticscholar +2 more sources
Object-unital groupoid graded rings, crossed products and separability [PDF]
, 2020 We extend the classical construction by Noether of crossed product algebras, defined by finite Galois field extensions, to cover the case of separable (but not necessarily finite or normal) field extensions. This leads us naturally to consider non-unital
J. Cala, Patrik Lundström, H. Pinedo
semanticscholar +1 more source
Ring Theoretic Properties of Partial Crossed products and related themes [PDF]
, 2016 In this paper we work with unital twisted partial actions. We investigate ring theoretic properties of partial crossed products as artinianity, noetherianity, perfect property, semilocalproperty, semiprimary property and we also study the Krull dimension.
L. Bemm, W. Cortes
semanticscholar +1 more source
Maximal graded orders over crystalline graded rings [PDF]
, 2009 Crystalline graded rings are generalizations of certain classes of rings like generalized twisted group rings, generalized Weyl algebras, and generalized skew crossed products.
T. Neijens, F. Oystaeyen
semanticscholar +1 more source
Very good gradings on matrix rings are epsilon-strong [PDF]
Linear and multilinear algebra, 2023 We investigate properties of group gradings on matrix rings $ M_n(R) $ Mn(R), where R is an associative unital ring and n is a positive integer. More precisely, we introduce very good gradings and show that any very good grading on $ M_n(R) $ Mn(R) is ...
Patrik Lundström +3 more
semanticscholar +1 more source
HOMOLOGICAL DIMENSIONS OF CROSSED PRODUCTS [PDF]
Glasgow Mathematical Journal, 2014 In this paper, we consider several homological dimensions of crossed products A α σ G, where A is a left Noetherian ring and G is a finite group. We revisit the induction and restriction functors in derived categories, generalizing a few classical ...
Liping Li
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Pseudo-Sylvester domains and skew laurent polynomials over firs [PDF]
, 2020 Building on recent work of Jaikin-Zapirain, we provide a homological criterion for a ring to be a pseudo-Sylvester domain, that is, to admit a non-commutative field of fractions over which all stably full matrices become invertible.
Fabian Henneke, D. L'opez-'Alvarez
semanticscholar +1 more source