ISSN:0092-7872    

DOI:10.1080/00927879908826640

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

The article examines the role of Gabriel filters of ideals in the ontext of semiprimef-rings. It is shown that for every 2-convex semiprimef-ringAand every multiplicative filter B of dense ideals the ring of quotients of A by B, namely the direct limit of the HomA(I, A) over allI∈ B, is anl-subring ofQA, the maximum ring of quotients. Relative to the category of all commutative rings with identity, it is shown that for every 2-convex semiprimef-ringAqA, the classical ring of quotients, is the largest flat epimorphic extension ofA. IfAis also a Prüfer ring then it follows that every extension ofAin qA is of the formS-1A for a suitable multiplicative subsetS. The paper also examines when a Utumi ring of quotients of a semiprimef-ring is obtained from a Gabriel filter. For a ring of continuous functionsC(X), withXcompact, this is so for eachC(U) andC*(U), whenUis dense open, but not for an arbitrary direct limit ofC(U),taken over a filter base of dense open sets. In conclusion, it is shown that, for a complemented semiprimef-ringA, the ideals ofAwhich are torsion radicals with respect to some hereditary torsion theory are precisely the intersections of minimal prime ideals ofA.

ISSN:0092-7872    

DOI:10.1080/00927879908826641

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826642

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

We present two pairs of infinite families of cyclically presented groups, where all groups in each pair have the same Alexander poly-nomials, and prove that the corresponding groups in each pair are iso-morphic.

ISSN:0092-7872    

DOI:10.1080/00927879908826643

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826644

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

LetKbe a field of characteristicp> 0. Denote by ω(R) the augmentation ideal of either a group algebra (R) =K[G] or a restricted enveloping algebraR=u(L) overK. We first characterize thoseRfor which ω(R) satisfies a polynomial identity not satisfied by the algebra of all 2 × 2 matrices overK. Then, we examine thoseRfor whichUJ(R) satisfies a semigroup identity (that is, a polynomial identity which can be written as the difference of two monomials).

ISSN:0092-7872    

DOI:10.1080/00927879908826645

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

This paper is concerned with products of idempotents of defect 1 in semigroups of order-preserving (or partial order-preserving) of transformations on the finite chain. We find the value of the least integer numberkfor which, WhereE1(orF) is the set of idempotents of defect 1.

ISSN:0092-7872    

DOI:10.1080/00927879908826646

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826609

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor