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 (3)

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• Structure of Ann-categories and Mac Lane - Shukla cohomology
• Ring extension problem, Shukla cohomology and Ann-category theory