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    Equational characterizations of cyclic purity and single compactness.

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

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    Arabic Abstract

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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)
    Subjects: Math
    Department: College of Computing and Mathematics > Mathematics
    Committee Advisor: Laradji, Abdallah
    Committee Members: Al-Bar, Mohammad A. and Ahsan, Javed
    Depositing User: Mr. Admin Admin
    Date Deposited: 22 Jun 2008 14:05
    Last Modified: 01 Nov 2019 14:01
    URI: http://eprints.kfupm.edu.sa/id/eprint/10446