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  1. The Termwise Equivalence of The Varieties of <em>L</em>-group Cones and Cancellative Generalized Hoops

    The Termwise Equivalence of The Varieties of L-group Cones and Cancellative Generalized Hoops

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: C.J. Van Alten
    We show that the varieties of l-group cones and of cancellative generalized hoops are termwise equivalent. We conclude that the varieties of l-groups and cancellative generalized hoops are categorically equivalent.
  2. Topogenous orders and related families of morphisms

    Topogenous orders and related families of morphisms

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: David Holgate --- University of the Western Cape, South Africa Minani Iragi --- Brno University of Technology, Czech Republic
    In a category with a proper ()-factorization system, we study the notions of strict, co-strict, initial and final morphisms with respect to a topogenous order. Besides showing that they allow simultaneous study of four classes of morphisms obtained separately with...