Rank functions for modules and categories
Abstract
In algebra one encounters various functions that measure some sort of finiteness or size of an algebraic entity. The most useful of these functions typically take values in the non-negative real numbers and exhibit some form of additivity. In this note, we focus on a particular type of functions, known as rank functions, defined on triangulated categories. These draw their inspiration from the classic notion of rank of a module.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Rings
Modules
and Algebras
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Scientific Repository of Open Access of Portugal (RCAAP)
- Publication date
- 12 January 2026
- Language
- PT