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math.RA2013
On Direct Sum Decompositions of Krull-Schmidt Artinian Modules
Juan Orendain
We study direct sum decompositions of modules satisfying the descending chain condition on direct summands. We call modules satisfying this condition Krull-Schmidt artinian. We pro…
math.RA2013
A Note on the Existence of Indecomposable Essential Submodules of the Ring of Quotients of Ore Domains
Juan Orendain
We study the problem of existence of essential indecomposable submodules of direct sums of copies of the ring of quotients of Ore domains. We provide, for each Ore domain , with…
math.RA2013
Combinatorial Dimensions: Indecomposability on Certain Local Finite Dimensional Trivial Extension Algebras
Juan Orendain
We study problems related to indecomposability of modules over certain local finite dimensional trivial extension algebras. We do this by purely combinatorial methods. We introduce…