Homotopism of homological complexes over nonassociative algebras with metagroup relations
S.V. Ludkowski
TL;DR
This paper explores homological complexes over nonassociative algebras with metagroup relations, focusing on smashly graded modules, complexes, and their homotopisms and homologisms.
Contribution
It introduces the study of smashed tensor products and analyzes homotopisms and homologisms in this nonassociative algebra context.
Findings
Analysis of smashed tensor products of complexes
Characterization of homotopisms in nonassociative settings
Insights into homological structures over metagroup-related algebras
Abstract
The article is devoted to homological complexes. Smashly graded modules and complexes are studied over nonassociative algebras with metagroup relations. Smashed tensor products of homological complexes are investigated. Their homotopisms and homologisms are scrutinized.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Algebraic structures and combinatorial models · Advanced Topics in Algebra