2010/01/15 by Yusuke Arike, Arike, Yusuke · 1 citation
Mathematics · #16D40 #16S5 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.QA #math.RA #msc:16D40 #msc:16S5
paper · pdf · doi:10.48550/arxiv.1001.2696
12 pages
arxiv created 2010/01/15 · openalex publication_date 2010/01/15 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let A be a finite-dimensional associative algebra and ϕ a symmetric linear function on A. In this note, we will show that the pseudotrace maps are obtained as special cases of well-known symmetric linear functions on the endomorphism rings of projective modules. We also prove that modules are interlocked with ϕ if and only if they are projective. As an application of our approach, we will give proofs of several propositions and theorems for pseudotrace maps for an arbitrary finite-dimensional associative algebra.