On the structure of splitting rings

J Fuelberth, J Kuzmanovich - Communications in Algebra, 1975 - Taylor & Francis
In this paper we study the structure of splitting rings for the Goldie torsion theory. First it is
shown that a splitting ring has a triangular matrix structure which reduces the study of …

[PDF][PDF] On a generalization of stable torsion theory

Y TAKEHANA - 第43 回環論および表現論シンポジウム報告集, 2011 - ring-theory-japan.com
Throughout this paper R is a ring with a unit element, every right R-module is unital and Mod-
R is the category of right R-modules. A subfunctor of the identity functor of Mod-R is called a …

Modules whose torsionfree submodules are direct summands

BB Bhattacharya, SP Mohanty - Communications in Algebra, 1980 - Taylor & Francis
In this paper we study modules v~ hose torsianfree submodules relative to a torsian theory
are direct summclnds. itk determine the structure of such modules@ hen the torsion theory is …

[PDF][PDF] 双対安定的捩れ理論の一般化(代数とコンピュータサイエンス)

竹花靖彦 - 数理解析研究所講究録, 2014 - repository.kulib.kyoto-u.ac.jp
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