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Equational characterizations of cyclic purity and single compactness.

Yusha'u, Balarabe (1997) Equational characterizations of cyclic purity and single compactness. Masters thesis, King Fahd University of Petroleum and Minerals.

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English Abstract

The concepts cyclic purity and total purity for modules are defined by Simmons over commutative domains. In this work equational approaches are used to generalise these concepts and related results to modules over arbitrary rings. It is shown here that single splitness and single compactness as defined by Azumaya, coincide with these generalised versions of cyclic purity and total purity. Among other results, rings all of whose modules are totally pure are characterized, and coflatness is used to characterize rings over which every totally pure module is injective.



Item Type:Thesis (Masters)
Date:September 1997
Date Type:Completion
Subjects:Math
Divisions:College Of Sciences > Mathematical Science Dept
Creators:Yusha'u, Balarabe
Committee Advisor:Laradji, Abdallah
Committee Members:Al-Bar, Mohammad A. and Ahsan, Javed
ID Code:10446
Deposited By:KFUPM ePrints Admin
Deposited On:22 Jun 2008 17:05
Last Modified:30 Apr 2011 15:32

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