摘要:

In this paper we give a complete classification of the minimal cyclicMq(n)-modules and construct them explicitly. Also, we give a complete classifica-tion of the minimal cyclic modules of the so-called Dipper-Donkin quantum matrix algebra as well as of two other natural quantized matrix algebras. In the last part of the paper we relate the results to the De Concini - Procesi conjecture.

ISSN:0092-7872    

DOI:10.1080/00927879908826445

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

We show that the structure of a Cohen-Macaulay simplicial affine semi-group depends on a finite abelian group and a map satisfying five properties.

ISSN:0092-7872    

DOI:10.1080/00927879908826446

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826447

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

The group of Lie typeF4(k)is shown to be 4-reflectional if. Then the subgroupNis proved to be 3-reflectional and an algorithm is given for writing any element inNas a product of involutions.

ISSN:0092-7872    

DOI:10.1080/00927879908826448

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

We use the theory of gerbes to provide a more conceptual approach to questions about models of a cover and their fields of definition.

ISSN:0092-7872    

DOI:10.1080/00927879908826449

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

The relation[Rtilde]on a monoidSprovides a natural generalisation of Green’s relationR. If every[Rtilde]-class ofScontains an idempotentSis left semiabundant; if[Rtilde]is a left congruence thenSsatisfies(CL). Regular monoids, indeed left abundant monoids, are left semiabundant and satisfy(CL). However, the class of left semiabundant monoids is much larger, as we illustrate with a number of examples.

ISSN:0092-7872    

DOI:10.1080/00927879908826450

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826451

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826452

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826453

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

Consider a truncated quiver algebra, where Γ is a finite quiverJis the bilateral ideal ofkΓ generated by the arrows, andk, is a field with characteristic zero. We give another description of a minimal projective resolution of Λ as a Λe-module given in [2] and [8], and using this description we compute the dimensions, as a vector space, of each Hochschild cohomology group of the truncated quiver algebra, in terms of its quiver Γ. We also prove that the Hochschild cohomology ring of Λ is finite dimensional as ak-vector space if and only if Γ has no oriented cycles.

ISSN:0092-7872    

DOI:10.1080/00927879908826454

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor