Communications in Algebra

Gonshor, Harry

doi: 10.1080/00927879808823643pmid: N/A

Green, Edward L.

doi: 10.1080/00927879808823644pmid: N/A

This paper develops new techniques for studying modules over a ring from knowledge of homomorphic images of the modules. The concept of disjoint ideals is introduced in this regard. Applications are given to the construction of almost split sequences over Artinian algebras.

Lafuente, Julio

doi: 10.1080/00927879808823645pmid: N/A

Chung, Lung D.

doi: 10.1080/00927879808823646pmid: N/A

A derivation is called Jordan decomposable i-f it can be decomposed into a sum of commuting nil and semi-simple parts. In this paper, we study a subfamily of such derivations, the strongly decomposable derivations. After establishing some basic properties, we present an intrinsic criterion for such a derivation. As an application, a classical theorem of Kharchenko on algebraic derivations is sharpened. This and other properties indicate that the notion of strongly decomposable derivations is a natural generalization of algebraic derivations.

Azad, H.

doi: 10.1080/00927879808823647pmid: N/A

Let G be a semi-simple linear algebraic group defined over an algebraically closed field k. We describe the subgroups H of a parabolic subgroup P such tht P/H is the affine line.

Pat Goeters, H.

doi: 10.1080/00927879808823648pmid: N/A

Fröberg, Ralf; Gottlieb, Christian; Häggkvist, Roland

doi: 10.1080/00927879808823649pmid: N/A

Förster, Peter

doi: 10.1080/00927879808823650pmid: N/A

Shenglin, Zhu

doi: 10.1080/00927879808823651pmid: N/A

Molinelli, Silvia

doi: 10.1080/00927879808823652pmid: N/A