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Mixed Modules In L, R. Gobel, Brendan Goldsmith Jan 1989

Mixed Modules In L, R. Gobel, Brendan Goldsmith

Articles

By assuming the set-theoretic hypothesis V = L we show that, for a large class of rings R, there exist, for any regular not weekly compact cardinals K, strongly k-cyclic mixed R-modules having endomorphism algebra isomorphic to the split extension of the R-algebra A by the ideal of bounded endomorphism provided A is free qua R-module and K./Az/


Essentially Indecomposable Modules Which Are Almost Free, Brendan Goldsmith, R. Gobel Jan 1988

Essentially Indecomposable Modules Which Are Almost Free, Brendan Goldsmith, R. Gobel

Articles

No abstract provided


On Endomorphism Algebras Of Mixed Modules, Brendan Goldsmith, B. Franzen Jan 1985

On Endomorphism Algebras Of Mixed Modules, Brendan Goldsmith, B. Franzen

Articles

No abstract available


An Essentially Semi-Rigid Class Of Modules, Brendan Goldsmith Jan 1984

An Essentially Semi-Rigid Class Of Modules, Brendan Goldsmith

Articles

No abstract available


Representations Of Algebras Over A Complete Discrete Valuation Ring, Brendan Goldsmith, Manfred Dugas, Rudiger Gobel Jan 1984

Representations Of Algebras Over A Complete Discrete Valuation Ring, Brendan Goldsmith, Manfred Dugas, Rudiger Gobel

Articles

No abstract available


Essentially Indecomposable Modules Over A Complete Discret Valuation Ring, Brendan Goldsmith Jan 1983

Essentially Indecomposable Modules Over A Complete Discret Valuation Ring, Brendan Goldsmith

Articles

No abstract available


A Note On Products Of Infinite Cyclic Groups, Brendan Goldsmith Jan 1981

A Note On Products Of Infinite Cyclic Groups, Brendan Goldsmith

Articles

In his book [2], Fuchs introduces the notion of a subgroup X of a Specker group P being a product and goes on to establish a Lemma [2, Lemma 95.1] which yields a useful characterization of the quotient and enables an easy derivation of Nunke’s characterization of epimorphic images of the Specker group [4]. Unfortunately this Lemma is incorrect as we show in section 1. In section 2 by suitably strengthening the hypothesis we regain a characterization of the quotient. Throughout, all groups are additively written Abelian groups and our notation follows the standard works of Fuchs [1], [2].


Endomorphism Rings Of Torsion-Free Modules Over A Complete Discret Valuation Ring., Brendan Goldsmith Jan 1978

Endomorphism Rings Of Torsion-Free Modules Over A Complete Discret Valuation Ring., Brendan Goldsmith

Articles

No abstract available.


Essentially-Rigid Families Of Abelian P-Groups, Brendan Goldsmith Jan 1978

Essentially-Rigid Families Of Abelian P-Groups, Brendan Goldsmith

Articles

No abstract available


Algorithms For The Solution Of Systems Of Coupled Second-Order Ordinary Differential Equations, Brendan O'Shea Jan 1978

Algorithms For The Solution Of Systems Of Coupled Second-Order Ordinary Differential Equations, Brendan O'Shea

Articles

Several step-by-step methods for the computer solution systems of coupled second-order ordinary differential equations, are examined from the point of view of efficiency “time-wise” and “storage-wise”. Particular reference is made to a system arising in the close-coupling approximation of the Schroedinger equation. The stability of the solution is also considered.