Control subgroups and birational extensions of graded rings
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 411-415, 1999., 1999 In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R = ⊕σ∈GRσ is a strongly G‐graded ring and H⊲G, then the embedding i : R(H)↪R, where R(H) = ⊕σ∈HRσ, is a Zariski extension if and only if H controls the filter ℒ(R − P) for every prime ideal P in an ...
Salah El Din S. Hussein
wiley +1 more source
Some properties of graded comultiplication modules
Open Mathematics, 2017 Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring.
Al-Zoubi Khaldoun, Al-Qderat Amani
doaj +1 more source
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
doaj +1 more source
Central polynomials for matrix algebras over the Grassmann algebra
, 2009 In this work, we describe a method to construct central polynomials for F-algebras where F is a field of characteristic zero. The main application deals with the T-prime algebras Mn(E), where E is the infinite- dimensional Grassmann algebra over F, which
Vieira, Ana C., Jorge, S. M. Alves
core +1 more source
Group Gradings on Free Algebras of Nilpotent Varieties of Algebras [PDF]
, 2012 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
core
Gradings and Graded Identities for the Matrix Algebra of Order Two in Characteristic 2 [PDF]
, 2012 2010 Mathematics Subject Classification: 16R10, 16R99, 16W50.Let K be an infinite field and let M2(K) be the matrix algebra of order two over K. The polynomial identities of M2(K) are known whenever the characteristic of K is different from 2.
Koshlukov, Plamen +1 more
core
Binomial Skew Polynomial Rings, Artin-Schelter Regularity, and Binomial Solutions of the Yang-Baxter Equation [PDF]
, 2004 2000 Mathematics Subject Classification: Primary 81R50, 16W50, 16S36, 16S37.Let k be a field and X be a set of n elements. We introduce and study a class of quadratic k-algebras called quantum binomial algebras. Our main result shows that such an algebra
Gateva-Ivanova, Tatiana
core
Weyl Groups of Fine Gradings on Simple Lie Algebras of Types A, B, C and D [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 17B70, secondary 17B40, 16W50.Given a grading Γ : L ⨁ = g ∈ G L g on a nonassociative algebra L by an abelian group G, we have two subgroups of Aut(L): the automorphisms that stabilize each component L g ...
Kochetov, Mikhail, Elduque, Alberto
core
Research on multiple bubbles in China's multi-level stock market. [PDF]
PLoS One, 2021 Li G, Xiao M, Yang X, Guo Y, Yang S.
europepmc +1 more source
Centers in domains with quadratic growth
Open Mathematics, 2005 Smoktunowicz Agata
doaj +1 more source