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math.RA2026
Multiary gradings
Steven Duplij
This article develops a comprehensive theory of multiary graded polyadic algebras, extending the classical concept of group-graded algebras to higher-arity structures. We introduce…
math.RA2025
Higher power polyadic group rings
Steven Duplij
This paper introduces and systematically develops the theory of polyadic group rings, a higher arity generalization of classical group rings . We construct…
math.RA2024
Hyperpolyadic structures
Steven Duplij
We introduce a new class of division algebras, the hyperpolyadic algebras, which correspond to the binary division algebras , , , w…