摘要:

Throughout this paper D denotes a division ring and V a left vector space over D. The finitary general linear group FGL(V) or FA AutDV over V is the subgroup of AutDV of D-automorphisms g of V such that [V,g] = V(g-l) has finite (left) dimension over D. By a finitary skew linear group we mean any subgroup G of FGL(V) for any D and V. Such a G is irreducible if V is irreducible as D-G (bi)module and is primitive if whenever V = ⊕ω∈ΩVomegaas D-module, where for all g∈G and ω∈Ω, Vωg = Vωfor some ω∈Ω, we have |Ω| = 1. In [4] we showed that a primitive irreducible finitary skew linear group is finite dimensional if it is hyper locally nilpotent (that is radical in the sense of Kuros) and sometimes if it is locally soluble. Here we complete the locally soluble case and, in fact, we can be a little more general.

ISSN:0092-7872    

DOI:10.1080/00927879508825250

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

In this article we prove the conjugacy theorem for the (non-symmetrizable) Kac-Moody algebras corresponding to strictly hyperbolic generalized Cartan matricies, i.e., without submatricies of finite type

ISSN:0092-7872    

DOI:10.1080/00927879508825251

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

In an earlier paper [8] the authors introduced strongly and properly semiprime modules. Here properly semiprime modules M are investigated under the condition that every cyclic submodule is M-projective (self-pp-modules). We study the idempotent closure of M using the techniques of Pierce stalks related to the central idempotents of the self-injective hull of M. As an application of our theory we obtain several results on (not necessarily associative) biregular, properly semiprime, reduced and Firings. An example is given of an associative semiprime PSP ring with polynomial identity which coincides with its central closure and is not biregular (see 3.6). Another example shows that a semiprime left and right FP-injective Pl-ring need not be regular (see 4.8). Some of the results were already announced in [7].

ISSN:0092-7872    

DOI:10.1080/00927879508825252

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825253

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825254

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

The dimension of the third homogeneous component of a matrix quantum bialgebra, determined by pair of quantum spaces, is calculated. The Poincaré series of some deformations of GL(n) is calculated. A new deformation of GL(3) with the correct dimension is given.

ISSN:0092-7872    

DOI:10.1080/00927879508825255

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

The automorphism group AutFnof a free group Fnof rank n acts on the product of n copies of a group G by substituting n elements of G into the words defining an automorphism of the free group. This gives rise to an antihomomorphism from AutFnto a permutation group. We determine this antihomomorphic image of AutFnwhen G is the semidirect product Zpx Zq

ISSN:0092-7872    

DOI:10.1080/00927879508825256

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

In this paper we study division rings D in which the elements of the derived group D1of D∗= D - {0} are algebraic over the centre of D.

ISSN:0092-7872    

DOI:10.1080/00927879508825257

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825258

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825259

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor