Work

Chain conditions in modular lattices with applications to Grothendieck categories and torsion theories

Year: 2025

Type: article

Abstract: The text presents in a compact way some basics of Lattice Theory with a great emphasis on chain conditions in modular lattices, that are then applied to Grothendieck categories and module categories equipped with hereditary torsion theories to obtain immediately and in a unified manner significant results in these areas. We also include other results of Algebraic Theory of Lattices that are interesting in their own right.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.81043

Author: Toma Albu

Institution: IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Universidade Estadual de Maringá

OpenAlex ID: W2552093980

FWCI:

Cites: 70

Cited by: 9

Related to: 20