Introduction to Ann-categories

Abstract

In this paper, we present new concepts of Ann-categories, Ann-functors, and a transmission of the structure of categories based on Ann-equivalences. We build Ann-category of Pic-funtors and prove that each Ann-category can be faithfully embedded into an almost strictly Ann-category.

11 pages

Cited by in corpus (14)

• On the Axiomatics of Ann-Categories
• The Relation between Ann-Categories and Ring Categories
• Enrichments over symmetric Picard categories
• Cohomological Classification of Ann-categories
• Crossed Bimodules over Rings and Shukla Cohomology
• Structure of Ann-categories
• On monoidal equivalences and Ann-equivalences
• Categorical rings subsume ann-categories
• 2-Modules and the Representation of 2-Rings
• Abelian categories in dimension 2
• Butterflies in a Semi-Abelian Context
• Ring extension problem, Shukla cohomology and Ann-category theory
• Structure of Ann-categories and Mac Lane - Shukla cohomology
• Cohomological classification of braided $Ann$-categories