摘要:

LetG=SL(2,pn) withpodd. LetKGbe the group algebra ofGover an algebraically closed fieldKof characteristicp. In general, a finite dimensional basic algebra can be described by a quiver with relations. ForKG, the quiver has been known. Namely the simpleKGmodules and their extensions determine it. The aim of this paper is to get the relations and describe the basic algebra ofKGby the quiver with them.

ISSN:0092-7872    

DOI:10.1080/00927879808826158

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

Letkbe a commutative ringGa finite groupRandSfullyG-gradedk-algebras. In this paper we investigate Morita equivalences, derived equivalences and stable equivalences of Morita type betweenRandS, which are induced byG-gradedR, 5-bimodules or complexes ofG-graded bimodules. Such equivalences occur naturally in the case of group algebras in certain reduction steps for Broue's conjecture, and we show how they can be lifted from equivalences betweenR1andS1.

ISSN:0092-7872    

DOI:10.1080/00927879808826159

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

For a semigroupSand a setthe relative rank ofSmoduloAis the minimal cardinality of a setBsuch thatgeneratesS. We show that the relative rank of an infinite full transformation semigroup modulo the symmetric group, and also modulo the set of all idempotent mappings, is equal to 2. We also characterise all pairs of mappings which, together with the symmetric group or the set of all idempotents, generate the full transformation semigroup.

ISSN:0092-7872    

DOI:10.1080/00927879808826160

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826161

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

We classify quotients of typePSL(2,q) andPGL(2,q) with torsion-free kernel for four of the nine hyperbolic tetrahedral groups. Using this result, we give a classification of the quotients with torsion-free kernel of typePSL(2q) ×Z2of the associated Coxeter or reflection groups. These do not admit quotients of typePSL(2,q),PGL(2,q). We also study quotients of typePSL(2,q) andPGL(2,q) of the fundamental group of the hyperbolic 3-orbifold of minimal known volume.

ISSN:0092-7872    

DOI:10.1080/00927879808826162

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

We prove that the pseudovarieties of all finite semigroups, and of all aperiodic finii e semigroups are irreducible for join, for semidirect product and for Mal’cev product. In particular, these pseudovarieties do not admit maximal proper subpseudovarieties. More generally, analogous results are proved for the pseudovariety of all finite semigroups all of whose subgroups are in a fixed pseudovariety of groups H, provided th.it H is closed under semidirect product.

ISSN:0092-7872    

DOI:10.1080/00927879808826163

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826164

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

The Grothendieck residue map is used to reverse power series in a characteristic-free manner. An operator theoretic method for reversing power series is linked to the Grothendieck residue method by local duality.

ISSN:0092-7872    

DOI:10.1080/00927879808826165

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

Denote byRthe power series ring in countably many variables over a fieldK; thenŔis the smallest sub-algebra ofRthat contains all homogeneous elements. It is a fact that a homogeneous, finitely generated idealJinŔhave an initial ideal gr(J), with respect to an arbitrary admissible order, that is locally finitely generated in the sense thatfor all total degreesd. Furthermore, gr(J) is locally finitely generated even under the weaker hypothesis thatJis homogeneous and locally finitely generated.

ISSN:0092-7872    

DOI:10.1080/00927879808826166

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826167

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor