Gradings by Groups on Melikyan Algebras
Jason McGraw
TL;DR
This paper classifies all gradings by abelian groups without elements of order five on Melikyan algebras over algebraically closed fields, providing a comprehensive understanding of their grading structures.
Contribution
It offers a complete classification of certain abelian group gradings on Melikyan algebras, a previously unexplored aspect of their structure.
Findings
All gradings by abelian groups without elements of order five are described.
The classification covers Melikyan algebras over algebraically closed fields.
Provides foundational knowledge for further algebraic studies.
Abstract
In this paper we describe all gradings by abelian groups without elements of order five on the Melikyan algebras over algebraically closed fields.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory