摘要:

It is a longstanding open problem in algebraic model theory to determine the model companions of the varieties of relative Stone algebras. Following Weispfenning's general model theory of Boolean products of structures we obtain various theories of Heyting algebras which are model and substructure complete. This works by adding only finitely many constant symbols to the language of Heyting algebras, one of which denoting a global dual atom. Thereby we especially obtain quantifier elimination for theories of atomless Post algebras of ordern.

ISSN:0092-7872    

DOI:10.1080/00927879808826204

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826205

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

In [9] a local homology theory for Artinian modules over commutative rings, which is dual to the local cohomology theory for Noetherian modules, introduced and in [1] the main result of [9] extended. In this note we prove that the local homology modules of an Artinian module over a commutative ring (with identity) are Artinian.

ISSN:0092-7872    

DOI:10.1080/00927878908826206

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

In this paper we study the relations among the different decomposition theories of comodules.

ISSN:0092-7872    

DOI:10.1080/00927879808826207

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826208

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826209

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

We show that the modular group γ3on the 27-dimensional exceptional domain admits only one multiplier system. At first we demonstrate that ¡aequals its own commutator subgroup by Jordan theoretic means, where the main tool is Hua's identity. Maaβ' description of all multiplier systems for the Siegel modular group then leads to the result. As a by-product we can describe the multiplier systems for the modular groups on the 10-dimensional boundary component and the half-spaces of quaternions.

ISSN:0092-7872    

DOI:10.1080/00927879808826210

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

Let (E,Q) be a finite dimensional quadratic vector space over a finite field. For the natural representation -π of the isometry groupGof (E,Q) in the spaceL2(E) of all complex valued functions onE, we analyse when the intertwining algebra of π is generated by just one averaging operator.

ISSN:0092-7872    

DOI:10.1080/00927879808826211

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

Some necessary and sufficient conditions are given for the ring of a Morita context to be a maximal order (resp. an Asano order, a Dedekind order, a Krull order).

ISSN:0092-7872    

DOI:10.1080/00927879808826212

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826213

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor