ISSN:0092-7872    

DOI:10.1080/00927879408824977

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

摘要:

Let Ak(*) denote the left distributive groupoid defined onsuch thatmod2kfor every a ∈ AkFor 1≥k<n defineso thatFor every a ∈ AkLetrbe the greatest integer such that 2rdivides n – k. Then σk,nis a groupoid homomorphism iff k ≥ 2r+1.

ISSN:0092-7872    

DOI:10.1080/00927879408824978

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

摘要:

Let(R, M)be a local (Noetherian) ring with completionR*such that the maximal idealMis regular (i.e.Mcontains a non-zerodivisor.) This note shows thatR*contains a depth one prime divisor of zero (i.e. there exists a prime idealqinR*such thatqis an associated prime ofR*with height(M R*/q) = 1.)if and only ifMis an associated prime divisor of every regular idealIofRcontained in a proper principal ideal.

ISSN:0092-7872    

DOI:10.1080/00927879408824979

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824980

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

摘要:

Let M be a module over a commutative ring A. For any filtrat ions F = (Mn) and G = (Nn) on M, we define the numbers ⱥF(G). Their existence in ƀF(G). and their symetrie properties are proved. The relationship between ⱥF(G), ƀF(G). the multiplicities of F and G with respect to an integer s defined by Bishop, is established. The numbers ⱥF(G).and ƀF(G). are studied in particular case when F or G is a weakly good filtration. It is proved that, if F is weakly f-good and if G is weakly g-good with f=(In)and g=(Jn)then we haveSeveral examples to show that each relation in (*) may be a strict inequality when f is not AP, even in a noetherian module, are given.

ISSN:0092-7872    

DOI:10.1080/00927879408824981

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824982

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

摘要:

Let C be a monomial curve in three dimensional projective space over an algebraically closed field K of characteristic zero . We give several necessary criterions for C to be set theoretic complete intersection. Using these criterions we get several restrictions concerning the form of the equations that define C set theoretically.

ISSN:0092-7872    

DOI:10.1080/00927879408824983

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824984

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824985

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824986

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor