2009年04期 (共 篇) 引用文章 全选
+ 摘要浏览:59 全文浏览：5 全文下载：10
We consider a generalized superabundant semigroup within the class of semi-abundant semigroups,called a supercryptogroup since it is an analogy of a cryptogroup in the class of regular semigroups.We prove that a semigroup S is an (H)-regular super-cryptogroup if and only if S can be expressed as a refined semilattice of completely (J).simple semigroups.Some results on regular cryptogroups are extended to (H)-regular supercryptogroups.Some results on superabundant semigroups are also generalized.
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A finite set of generators for a free product of two groups of type F_3 with a subgroup amalgamated,and an estimation for the upper bound of the second order Dehn functions of the amalgamated free product are carried out.
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Let R be an associative ring with identity and M an R-module.Let Spec(M)be the set of all prime submodules of M.We topologize Spec(M)with the Zariski topology and prove some useful results.
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This paper considers Lie bialgebra structures on Lie algebras of Block type and proves that all such Lie bialgebras are triangular coboundary.
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In this paper,some methods are given to construct dipolarizations in Kac-Moody algebras as well as their some subalgebras,and an illustrative example is provided.The dipolarizations found in this paper include symmetric and non-symmetric ones.
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For a given algebra A=＜A,+,·),we can define its anti-symmetric algebra A-=＜A-,+,[,])using the commutator [,]of A,where the sets A and A- are the same.We show that there are isomorphic algebras A1 and A2 such that their anti-symmetric algebras are not isomorphic.We define a special type Lie algebra and show that it is simple.
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Given a commutative Noetherian local ring(R,m),it is shown that R is G0renstein if and only if there exists a system of parameters x_1,…,X_d of R which generates an irreducible ideal and ∑d/j=1 x_jt R:Rm(∈)(Us∈N(∑d/j=1x_j(t+s)R):R x_1s…x_ds)+x_1(t-1)…x_d(t-1)(∑d/j=1x_jR:Rm)for all t>0.Let n be an arbitrary non-negative integer.It is also shown that for an arbitrarv ideal a of a commutative Noetherian(not necessarily local)ring R and a finitely generated R-module M,Hom_R(R/a,H_an(M))is finitely generated ifand only ifthere exists an a-filter regular sequence X_1,...,X_n ∈a such that ∑n/j=1 x_jt M:M a (∈)(Us∈N(∑n/j=1 x_j(t+s)M):M X_1s…X_ns)+X_1(t-1)…X_n(t-1)(∑n/j=1 X_j M:Ma)for all t>0.
+ 摘要浏览:53 全文浏览：5 全文下载：11
Linton in 1978 proved that aλ-large subgroup of all abelian p-group A is totally projective if and only if A is totally projective.In this paper it will be shown that a special λ-large subgroup of a C_Ω-p-group A is summable if and only if A is summable.
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We study the normal structure of maximal parabolic subgroups of a Chevalley group over a commutative ring.More precisely,we describe the subgroups of a maximal Darabolic subgroup P normalized by the elementary part of its Levi subgroup:As a corol-lary,we obtain a description of the subgroups in P normalized by its elementary subgroup EP.
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New characteristic properties of left GPGV-rings are given.It is shown that if R is a left GPGV-ring,then for any nonzero element a in R,there is a positive integer n such that an≠0 and(RaR+l(an))♁L=R for some left ideal L contained in Soc(_RR).As a corollary of this result,we are able to give a positive answer to a question raised by Yue Chi Ming.
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Let(W,S)be a Weyl group of type B_n.In this paper,we find certain nontrivial distinguished involutions in the two-sided cell Ω_t of W with a-value 1/2(n2-n_4t2+2t)fbr 1≤2t≤n and n even(resp.,1/2(n2-n+4t2-2t)for 1≤2t
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We study algebras A→B with the property that H_1(A,B,B)=0.They are quite near to smooth algebras,that is why they are called almost smooth algebras.Some applications to the evolution problem of Eisenbud and Mazur are given.
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In this paper,we study the structure of finite groups G under the assumption that certain abelian subgroups of largest possible exponent of prime power order lie in the ξ-hypercenter of G.We improve and extend some results of Ezzat,Shaalan,Elashiry,Asaad,Ramadan,and Buckley.
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This paper describes the behaviour of the equimultiple locus of algebroid Surfaces under blowing-up for an arbitrary characteristic ground field,extending previous results of the authors for characteristic zero.
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The Poincaré series of a Coxeter group W measures its growth relative to the generating set R.A well-known formula gives an inductive method of calculating the P0incaré series of W when W is finite.The aim of this paper is to obtain generalizations of this formula.
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We study the derivations,the central extensions and the automorphism group of the extended Schr(o)dinger-Virasoro Lie algebra (sb),introduced by Unterberger in the context of two-dimensional conformal field theory and statistical paysics.Moreover,we show that (sb) is an infinite.dimensional complete Lie algebra,and the universal central extension of (sb) in the category of Leibniz algebras is the same as that in the category of Lie algebras.
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In this paper we prove that a finite p-solvable group G is solvable if its every conjugacy class size of p'-elements with prime power order equals either 1 or m for a fixed integer m.In particular.G is 2-nilpotent if 4 does not divide every conjugacy class size of 2'-elements with prime power order.