Work

J-equivalence for associative algebras

Year: 2024

Type: article

Abstract: We study the combinatorics of an analogue of Green’s $${\mathcal {J}}$$ J -relation (a.k.a. the two-sided relation) for the bicategory of finite-dimensional bimodules over finite-dimensional associative algebras over a fixed field. In particular, we provide a number of exameples for both $${\mathcal {J}}$$ J -equivalent and inequivalent but $${\mathcal {J}}$$ J -comparabe algebras.

Source: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

DOI: 10.1007/s13366-024-00757-8

Author: Helena Jonsson

Institution: Uppsala University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Uppsala Universitet