Communications in Algebra

Sprenger, Klaus-Hilmar

doi: 10.1080/00927879808826204pmid: N/A

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 order n.

Scevenels, Dirk

doi: 10.1080/00927879808826205pmid: N/A

Taherizadeh, A.J.

doi: 10.1080/00927878908826206pmid: N/A

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.

Zhixiang, Wu; Qiaoling, Xia

doi: 10.1080/00927879808826207pmid: N/A

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

Bensilmane, Mohamed; Merrachi, Najia

doi: 10.1080/00927879808826208pmid: N/A

Choi, Eunmi; Lee, Heisook

doi: 10.1080/00927879808826209pmid: N/A

Krieg, Aloys; Walcher, Sebastian

doi: 10.1080/00927879808826210pmid: N/A

We show that the modular group γ3 on the 27-dimensional exceptional domain admits only one multiplier system. At first we demonstrate that ¡a equals 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.

Soto-Andrade, Jorge; Vargas, Jorge

doi: 10.1080/00927879808826211pmid: N/A

Let (E,Q) be a finite dimensional quadratic vector space over a finite field. For the natural representation -π of the isometry group G of (E,Q) in the space L 2(E) of all complex valued functions on E, we analyse when the intertwining algebra of π is generated by just one averaging operator.

Marubayshi, Hidetoshi; Zhang, Yang; Yang, Po

doi: 10.1080/00927879808826212pmid: N/A

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).

Xiuliang, Yang

doi: 10.1080/00927879808826213pmid: N/A