摘要:

Several special cases of the conjectures of Bovdi and Zassenhaus are proved. We also deal with special cases of the following conjecture: let α be a torsion unit of the integral group ring ZZG and m the smallest positive integer such that αm∈G then, m is a divisor of the exponent of the quotient group G/Z(G) provided this exponent is finite

ISSN:0092-7872    

DOI:10.1080/00927879408825111

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825112

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825113

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

We show that cancellativity is a necessary condition on a semigroupSfor the Jacobson radical of allS-graded rings to be homogeneous. We introduce some related classes of semigroupsSfor which the Jacobson radical of certainS-graded rings is always homogeneous. Commutative and regular semigroups in these classes are described

ISSN:0092-7872    

DOI:10.1080/00927879408825114

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

Rational actions of the additive group of complex numbers on complex n space are considered. A ring theoretic criterion for properness is given, along with ideal theoretic criteria for local triviality of such actions. The relationship between local triviality and flatness of the polynomial ring over its subring of Ga invariants is investigated.

ISSN:0092-7872    

DOI:10.1080/00927879408825115

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

It is shown that the polynomial ring R[X] over a Noetherian Hilbert ring R is coprimely packed if and only if R is Artinian.

ISSN:0092-7872    

DOI:10.1080/00927879408825116

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825117

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

A weaker version of the Zassenhaus conjecture for torsion units in integral group rings ZG is proved if G is either abelian-by-polycyclic or metabelian. As a consequence we obtain Bovdi's conjecture for torsion units in ZG for metabelian groups

ISSN:0092-7872    

DOI:10.1080/00927879408825118

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

Let modA be the category of finitely generated right A-modules over an artin algebra ⋀, and F be an additive subfunctor of. LetP(F)denote the full sucategory of A with objects theF-projective modules. If the functorFhas enoughF- projectives, then we show that the stable categorymodp(F)⋀has a left triangulated structure. In case, the above statement implies that the stable categorymodp⋀ has a left triangulated structure. Dual statements for the case of F-injective modules are also true

ISSN:0092-7872    

DOI:10.1080/00927879408825119

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825120

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor