ISSN:0092-7872    

DOI:10.1080/00927870008827104

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827105

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827106

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

A prime ideal of the symmetric algebra of anR-moduleNis associated to every prime submoduleM⊂Nand this assignment is then used to obtain a new characterization of the radical of a submodule. Several applications of these results are also included.

ISSN:0092-7872    

DOI:10.1080/00927870008827107

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

A Lie algebra is said to satisfy the Baer condition provided each of its 1-dimensional subalgebras is a subideal; if the defect is bounded then the Lie algebra is bounded Baer. We first characterise restricted enveloping algebras (of odd characteristicp) that satisfy the bounded Baer condition. Using this characterisation, we are then able to construct a Lie algebra satisfying the bounded Engel condition, in each odd characteristicp, that does not satisfy the Baer condition. Such a bounded Engel Lie algebra must contain a non-nilpotent 1-generated ideal

ISSN:0092-7872    

DOI:10.1080/00927870008827108

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

LetAbe an artin algebra. Let Γ be a component of the Auslander-Reiten Quiver ΓAand Γ contain no oriented cycle. If Γ is stable or semi-stable, then the structure of Γ is known. Here, we are going to consider general component which may contain both injective vertices and projective vertices at the same time. We will show that Γ can be embedded in some Δ with Δ isomorphic to a section of Γ if and only if every possible path from an injective vertex to a projective vertex is sectional. This result generalizes part of Zhang’s theorem and the corresponding part of Liu’s theorem.

ISSN:0092-7872    

DOI:10.1080/00927870008827109

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

LetDbe a domain with quotient fieldK. The ring of integer-valued polynomials overDis Int (D):={fϵK[X];f(4D) ⊆D}.We describe the divisorial prime ideals of Int(D) whenDis a domain of Krull-type and, in particular, whenDis also ad-ring.

ISSN:0092-7872    

DOI:10.1080/00927870008827110

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

A ringRis called right simple-injective if every itMinear map with simple image from a right ideal toRcan be extended toR. We characterize when matrix rings, upper triangular matrix rings and trivial extensions are right simple-injective. We also study split null extensions of simple-injective rings.

ISSN:0092-7872    

DOI:10.1080/00927870008827111

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827112

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

The theorv of Doi-Hopf modules [8,11] is generalized to Weak Hopf Algebras [1, 14, 2].

ISSN:0092-7872    

DOI:10.1080/00927870008827113

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor