2022/07/13 by Aleks Kleyn, Kleyn, Aleks
Computer Science · Mathematics · #16K40 #2020 Mathematics Subject Classification. Primary 16D10 #Advanced Topics in Algebra #FOS: Mathematics #General Mathematics (math.GM) #Matrix Theory and Algorithms #Secondary 16K20
paper · pdf · doi:10.48550/arxiv.2207.06506
openalex publication_date 2022/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
I dedicated the volume 1 of monograph 'Introduction into Noncommutative Algebra' to studying of algebra over commutative ring. The main topics that I covered in this volume: definition of module and algebra over commutative ring; linear map of algebra over commutative ring; vector space over associative division algebra; system of linear equations over associative division algebra; homomorphism of vector space over associative division algebra and covariance theory; eigenvalue and eigenvector over associative division algebra.