摘要:

This article describes Bezout and Prüfer f-rings in terms of their localizations. All f-rings here are corrmutative, semi prime and possess an identity; they also have the bounded inversion property: a >1 implies that a is a multiplicative unit. The two main theorems are as follows: (1) A is a Bezout f-ring if and only if each localization at a maximal ideal is a (totally ordered) valuation ring; (2) Each Prufer f-ring is quasi-Bezout, and if each localization of A is a Prufer f-ring then so is A. We give a counter-example to show that the converse of the last assertion is false.

ISSN:0092-7872    

DOI:10.1080/00927879208824500

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879208824501

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

摘要:

In [6] Lanski,Resco and Small proved that, if I is a non-zero right ideal of a prime ring R then R is right primitive if and only if I is right primitive modulo its prime radical. Considering the opposite ring one gets the left version of this result. It is natural to ask whether the mixed version C left ideal, right primitivity) of the theorem holds as well. Studying this question we concluded that all the results of [6] can be extended to normal classes of rings[7] (of which the classes of left and right primitive rings are examples). It in particular answers positively the question. we also get several new characterizations of normal classes and find a direct proof of the quoted result of [6].

ISSN:0092-7872    

DOI:10.1080/00927879208824502

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

摘要:

Let U be a universal differential field of characteristic 0 with a setof commuting derivations. In [C] it is shown that if G is an almost simple differential algebraic group then G is isogeneous (as a differential algebraic group) to a linear algebraic group relative to a δclosed subfield of U. Here we show, using some model-theoretic facts, that isogeneous can be replaced by isomorphic.

ISSN:0092-7872    

DOI:10.1080/00927879208824503

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

摘要:

The idea of a control subgroup or inertia group for objects over group graded rings is applied to filtratons of the objects defined over the graded ring. we stidy the interplay between properties of a foltered nature and induction from subgroups of the grading groups.

ISSN:0092-7872    

DOI:10.1080/00927879208824504

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

摘要:

It is shown that certain classes of finite p-groups are characterized by the ranked partially ordered set of conjugacy classes of their subgroups.

ISSN:0092-7872    

DOI:10.1080/00927879208824505

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879208824506

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879208824489

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor