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Classes of Universal Epi- and Monomorphisms in Quasi-Abelian Categories

Max Zinchenko

Abstract

This paper provides a solution to the open problen formulated in Glotko and Kuzminov article, as well as examples of non-strict universal epimorphisms and monomorphisms.

Classes of Universal Epi- and Monomorphisms in Quasi-Abelian Categories

Abstract

This paper provides a solution to the open problen formulated in Glotko and Kuzminov article, as well as examples of non-strict universal epimorphisms and monomorphisms.
Paper Structure (5 sections, 26 equations)

This paper contains 5 sections, 26 equations.

Table of Contents

  1. Preabelian and quasi-abelian categories
  2. Torsion theories
  3. Definition and existence of universal epi- and monomorphisms
  4. The Main Theorem
  5. Universal mono and epimorpisms in category of Banach spaces.