摘要:

In this paper, we find bases of level two standard modules for the affine Lie algebrausing the z—algebra theory developed in [2] by Lepowsky and Wilson.

ISSN:0092-7872    

DOI:10.1080/00927879008824029

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879008824030

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

摘要:

Using the fact that the K—automorphism a defined on k(X1,X2…,X8) byis not rational (if k is the field of rational numbers), we see that the K—automorphism β defined on k(X1,X2,X3,X4) byis not rational. We then show that among non—rational purely monomial K—automorphisms on k(X1,X2,…,Xn), this example β is minimal in the sense that neither 8 (the order of β) nor 4 (the number of variables) can be improved upon.

ISSN:0092-7872    

DOI:10.1080/00927879008824031

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

摘要:

This paper is concerned with the question of when a Schmidt differential operator ring S over a ring R must have the same uniform rank or reduced rank as R. Also, some information about those prime ideals of R which are invariant under a Schmidt higher derivation is derived. All rings in this paper are associative with unit and all modules are unital right modules.

ISSN:0092-7872    

DOI:10.1080/00927879008824032

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

摘要:

The Bianchi Groups Γdare PSL2(0d) where 0dis the ring of integers in the quadratic imaginary number field Q√-d with d a positive square-free rational integer. If d=1,2,3,7,11 0dhas a Euclidean algorithm and the corresponding groups are called the Euclidean Bianchi Groups. The group Γ1is the Picard Group has been studied independently. Here the subgroup structure of the remaining Euclidean Bianchi Groups is investigated. We show that they have a unique normal subgroup of index in if(n,6)=1 among other results. We also classify the abelian and nilpotent subgroups and discuss the structure of both congruence and non-congruence subgroups.

ISSN:0092-7872    

DOI:10.1080/00927879008824033

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879008824034

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879008824035

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879008824036

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879008824037

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879008824038

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor