摘要:

In this paper we shall formulate necessary and sufficient conditions for a semiprime ring to be both left and right Goldie in terms of the symmetric notion of biideal instead of one-sided ideals. We use this result to characterize semiprime Goldie rings with involution by conditions consistent with the notion of involution rings, that is, in terms of ascending chain condition for annihilator *-biideals and of maximum condition for *-biideal direct sums.

ISSN:0092-7872    

DOI:10.1080/00927879408824854

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

We consider the ring of invariants RG obtained by letting a finite group G act via its regular representation on a polynomial ring withindeterminates over an algebraically closed field of characteristic zero. We note that the Hilbert series of RG can be thought of as a function of a certain sequence, namely the order structure of G. We consider properties of this and a related function for more general classes of sequences. As a result of our findings, we use invariant theory to give new proofs of two theorems, both originally due to Probenius, on finite groups.

ISSN:0092-7872    

DOI:10.1080/00927879408824855

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824856

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

We give a new characterization of the analytic spread of ideals in local rings with infinite residue fields. This new characterization answers a question of Huneke and can simplify Huneke's constructions in [1]

ISSN:0092-7872    

DOI:10.1080/00927879408824857

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824858

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

In this paper we study a certain class of irreducible representations of the Lie algebra K of all polynomial vector fields preserving a contact structure. The Lie algebra K admits a triangular decompositionand we can associate to any character τ of Koa Verma module V(τ). Using a method of caracteristic variety, we prove that if τ is not trivial then V(τ) is simple. Then we deduce a formula for the dimension of homogenous components of V(τ)

ISSN:0092-7872    

DOI:10.1080/00927879408824859

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824860

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824861

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824862

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

There are uncountably many varieties of lattice-ordered groups which cover the Abelian variety

ISSN:0092-7872    

DOI:10.1080/00927879408824863

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor