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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Studia logica 56 (1996), S. 225-261 
    ISSN: 1572-8730
    Keywords: Priestley duality ; Stone duality ; Pontryagin duality ; character group ; program semantics ; Bochvar Logic ; regular identities
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
    Notes: Abstract The paper discusses “regularisation” of dualities. A given duality between (concrete) categories, e.g. a variety of algebras and a category of representation spaces, is lifted to a duality between the respective categories of semilattice representations in the category of algebras and the category of spaces. In particular, this gives duality for the regularisation of an irregular variety that has a duality. If the type of the variety includes constants, then the regularisation depends critically on the location or absence of constants within the defining identities. The role of schizophrenic objects is discussed, and a number of applications are given. Among these applications are different forms of regularisation of Priestley, Stone and Pontryagin dualities.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Algebra universalis 35 (1996), S. 233-248 
    ISSN: 1420-8911
    Keywords: 20N05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The category of modules over a fixed quasigroup in the category of all quasigroups is equivalent to the category of representations of the fundamental groupoid of the Cayley diagram of the quasigroup in the category of abelian groups. The corresponding equivalent category of coverings, and the generalization to the right quasigroup case, are also described.
    Type of Medium: Electronic Resource
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