Results 21 to 30 of about 528 (32)
Bimodules in group graded rings
In this article we introduce the notion of a controlled group graded ring. Let $G$ be a group, with identity element $e$, and let $R=\oplus_{g\in G} R_g$ be a unital $G$-graded ring.
Öinert, Johan
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Group Gradings on Free Algebras of Nilpotent Varieties of Algebras [PDF]
2010 Mathematics Subject Classification: Primary 16W50, 17B70; Secondary 16R10.The main result is the classification, up to isomorphism, of all gradings by arbitrary abelian groups on the finitely generated algebras that are free in a nilpotent variety ...
Bahturin, Yuri
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Isomorphisms of some quantum spaces
We consider a series of questions that grew out of determining when two quantum planes are isomorphic. In particular, we consider a similar question for quantum matrix algebras and certain ambiskew polynomial rings.
Gaddis, Jason
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Algebras related to posets of hyperplanes [PDF]
We compare two noncommutative algebras which are related to arrangements of hyperplanes. For three special arrangements the induced approximately finite dimensional $C^*$-algebra and the graded Orlik-Solomon-algebra are ...
Jeurnink, G.A.M.
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Multialternating graded polynomials and growth of polynomial identities
Let G be a finite group and A a finite dimensional G-graded algebra over a field of characteristic zero. When A is simple as a G-graded algebra, by mean of Regev central polynomials we construct multialternating graded polynomials of arbitrarily large ...
Aljadeff, Eli, Giambruno, Antonio
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Filtered-graded transfer of noncommutative Gr\"obner bases [PDF]
As the case of free $\Bbbk$-algebras and $PBW$ algebras, given a bijective skew $PBW$ extension $A$, we will show that it is possible transfer Gr\"obner bases between $A$ and its associated graded ring.Comment: arXiv admin note: text overlap with arXiv ...
Gallego, Claudia
core +2 more sources
Topological model for h"-vectors of simplicial manifolds
Any manifold with boundary gives rise to a Poincare duality algebra in a natural way. Given a simplicial poset $S$ whose geometric realization is a closed orientable homology manifold, and a characteristic function, we construct a manifold with boundary ...
Ayzenberg, Anton
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Miyashita Action in Strongly Groupoid Graded Rings [PDF]
We determine the commutant of homogeneous subrings in strongly groupoid graded rings in terms of an action on the ring induced by the grading. Thereby we generalize a classical result of Miyashita from the group graded case to the groupoid graded ...
Lundström, Patrik, Öinert, Johan
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Research on multiple bubbles in China's multi-level stock market. [PDF]
Li G, Xiao M, Yang X, Guo Y, Yang S.
europepmc +1 more source
Noncommutative Grassmannian of codimension two has coherent coordinate ring
A noncommutative Grassmannian NGr(m, n) is introduced by Efimov, Luntz, and Orlov in `Deformation theory of objects in homotopy and derived categories III: Abelian categories' as a noncommutative algebra associated to an exceptional collection of n-m+1 ...
Piontkovski, Dmitri
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