摘要:

Let G be a finite group of n elements. The order structure of G is the sequence (a1,a2.., ) where aiis the number of elements of order i in G. The order structures satisfy the following properties

ISSN:0092-7872    

DOI:10.1080/00927879508825318

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825319

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Let A = k[x1,..., xn] be a standard graded k-algebra over an infinite field k. We assume A is Cohen-Macaulay and has Krull dimension one. Let e denote the multiplicity of A and r - 1 the postulation number of A. Let I be a homogeneous ideal in A of grade one. Let j(I) denote the smallest degree of a regular form in I. Let l (I) denote the smallest power of (x1,... , xn) contained in I. If μ(I) denotes the minimum number of generators of I, then we show μ(I) ≤ e + j(I) - max{r,l(I)}, We then show how Dubreil's Second Theorem follows easily from this inequality

ISSN:0092-7872    

DOI:10.1080/00927879508825320

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Let R=∏αεAbe an infinite product of zero-dimensionalchained rings. It is known that R is either zero-dimensional or infinitedimensional. We prove that a finite-dimensional homo~norphic image of R is of dimension at most one. If each R, is a PIR and if R is infinite-dimensional, then R admits one-dimensional hornomorphic images. However, without the PIR hypothesis on the rings Rα, we present examples to show that R may be infinite-dimensional while each finite-dimensional homomorphic image of R is zero-dimensicnal. JVe prove that a prime ideal of R of positive height is of infinite height, and we give conditions for an infinite product of zero-dimensional local rings to admit a one-dimensional local domain as a honlomorphic image.

ISSN:0092-7872    

DOI:10.1080/00927879508825321

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825322

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825323

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825324

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor