摘要:

A well-known theorem of Brandal states that ifRis an almost maximal Prüifer domain with quotient fieldQ, then every homomorphic image ofQis injective. The converse of Brandal's theorem is established, and it is shown in addition that a Prüfer domain is almost maximal if and only if each prime ideal has injective dimension one. Applications involving reflexive domains are considered.

ISSN:0092-7872    

DOI:10.1080/00927879908826707

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826708

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

Bernstein superalgebras of dimensions 2 and 3 are classified as Bern-stein superalgebras and as superalgebras.

ISSN:0092-7872    

DOI:10.1080/00927879908826709

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826710

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

A subgroupHof a groupGis called s-semipermutable inGif it is permutable with all Sylowp-subgroups ofGwith (p,∣H∣) for all primespsuch thatp∥G∣. In this pa-per, we investigate the influence ofs-semipermutable and abnormal subgroups on the structure of a finite group and classify such finite groups in which every subgroup is eithers-semipermutable or abnormal.

ISSN:0092-7872    

DOI:10.1080/00927879908826711

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

We prove that for every positive integerkthere isN=N(k) such that for every oddn> N there exists a group G satisfying the identitywhose derived subgroupG' is non-periodic. This solves a problem posed by V.D.Mazurov.

ISSN:0092-7872    

DOI:10.1080/00927879908826712

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826713

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

In the first part, we prove that the dominion (in the sense of Isbell) of a subgroup of a finitely generated nilpotent group is trivial in the category of all nilpotent groups. In the second part, we show that the dominion of a subgroup of a finitely generated nilpotent group of class two is trivial in the category of all metabelian nilpotent groups.

ISSN:0092-7872    

DOI:10.1080/00927879908826714

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

Using certain families of filters of a bounded distributive lattice, we provide a general method of constructing Ockham algebras. In particular, by using prime filters, we obtain a method of constructing Ockham algebras (L;f) such thatf(L;f) is a chain.

ISSN:0092-7872    

DOI:10.1080/00927879908826715

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826716

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor