Перегляд за автором "Wisbauer, R."

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  • Correct classes of modules 
    Wisbauer, R. (Algebra and Discrete Mathematics, 2004)
    For a ring R, call a class C of R-modules (pure-) mono-correct if for any M, N ∈ C the existence of (pure) monomorphisms M → N and N → M implies M ≃ N. Extending results and ideas of Rososhek from rings to modules, it ...
  • Regular pairings of functors and weak (co)monads 
    Wisbauer, R. (Algebra and Discrete Mathematics, 2013)
    For functors L : A → B and R : B → A between any categories A and B, a pairing is defined by maps, natural in A ∈ A and B ∈ B, MorB(L(A), B) ↔ MorA(A, R(B)). (L, R) is an adjoint pair provided α (or β) is a bijection. ...
  • Weak Frobenius monads and Frobenius bimodules 
    Wisbauer, R. (Algebra and Discrete Mathematics, 2016)
    As observed by Eilenberg and Moore (1965), for a monad F with right adjoint comonad G on any category A, the category of unital F-modules AF is isomorphic to the category of counital G-comodules AG. The monad F is ...
  • τ-complemented and τ-supplemented modules 
    Al-Takhman, K.; Lomp, C.; Wisbauer, R. (Algebra and Discrete Mathematics, 2006)
    Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of ...