Unified products for Malcev algebras
Tao Zhang, Ling Zhang, Ruyi Xie
TL;DR
This paper develops a comprehensive theory of extending structures and unified products for Malcev algebras, classifying them via non-abelian cohomology and exploring special cases like crossed products.
Contribution
It introduces a unified framework for Malcev algebra extensions, including classification via cohomology and analysis of one-dimensional flag structures.
Findings
Unified structures for Malcev algebras are systematically developed.
Classification of extending structures via non-abelian cohomology.
Analysis of special cases such as crossed products and flag extensions.
Abstract
The extending structures and unified products for Malcev algebras are developed. Some special cases of unified products such as crossed products and matched pair of Malcev algebras are studied. It is proved that the extending structures can be classified by some non-abelian cohomology theory. One dimensional flag extending structures of Malcev algebras are also investigated.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology