摘要:

In this paper we prove that if (A, ω) is a Bernstein algebra or a train algebra of rank 3, then the bar-radical of (A,ω) is (bar(A))2and that it is nilpotent (hence solvable). We give also a description of a class of train algebras of rank 3, defined by pairs of bilinear mappings.

ISSN:0092-7872    

DOI:10.1080/00927879808826259

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

We consider the kernel of the universal derivation for a simple algebraic extension of Noetherian rings, and give a condition for the kernel to be Noetherian.

ISSN:0092-7872    

DOI:10.1080/00927879808826260

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

Two families of groups close to groups of odd order, and two families of groups close to real groups will be described. The first two are the family of finite groups in which all real irreducible ordinary characters are linear, and the family of all finite groups with the dual condition on the conjugacy classes, namely, groups in which all real conjugacy classes are contained in the center of the group. We will see that each group in one of these families is a direct product of a group of odd order with a 2-group.

ISSN:0092-7872    

DOI:10.1080/00927879808826261

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

In the category D,M of crossed modules in Lie algebras we introduce the actor of a crossed module, an object that plays a similar role to derivations of a Lie algebra in the Lie algebras category. From this concept we derive fundamental notions in D,M such as the centre of a crossed module and the action between crossed modules. Using this concept of action we obtain a description of a crossed square (crossed module in the crossed modules category).

ISSN:0092-7872    

DOI:10.1080/00927879808826262

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

In this paper we prove some results concerning annihilators of power values of derivations in prime rings. The following main theorem establishes a unified version of several earlier results in the literature:LetRbe a prime ring with centerZand with extended centroidC,Q, its two-sided Martindale quotient ring, ρ a nonzero right ideal ofRandDa nonzero derivation ofR.Suppose that aD([x,y])n∈Z(D([x,y])na ∈Z) for allx,y∈ρ wherea∈Randnis a fixed positive integer. If [ρ,ρ]ρ ≠ 0 and dimCRC >4, then eitheraD(ρ) = 0 (a = 0 resp.) orD= ad(p) for somep∈Qsuch thatpρ = 0.

ISSN:0092-7872    

DOI:10.1080/00927879808826263

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

We study how Hilbert bimodules correspond in the algebraic case to hermitian Morita equivalences and consequently we obtain a description of the hermitian Picard group of a commutative involutive algebraAas the semidirect product of the classical hermitian Picard group ofAand the automorphisms ofAcommuting with the involution. We also obtain similar decomposition results on hermitian Picard groups of involutive coalgebras (Cωc), which show, at least in the cocommutative case, that this hermitian Picard group differs considerably from the non hermitian one.

ISSN:0092-7872    

DOI:10.1080/00927879808826264

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826265

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826266

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

We study basic properties of Auslander-Gorenstein rings related to duality, localization and purity of minimal injective resolutions.

ISSN:0092-7872    

DOI:10.1080/00927879808826267

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826268

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor