What question did this study set out to answer?

The aim is to establish a tensor product theorem for a class of graded associative algebras.

On the representations of certain graded tensor products

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Article derives a tensor product theorem for graded algebras, demonstrating extensions to larger algebra classes.

The aim is to establish a tensor product theorem for a class of graded associative algebras.
Develop a theorem for the tensor products of -graded associative algebras.
Apply the general result to universal enveloping algebras of Lie superalgebras and Lie color algebras.
Use previous results on irreducibility in a generalized -graded context.
The theorem describes irreducible modules of tensor products as compositions of irreducibles from their constituents.
Extensions of previous results on irreducibility for universal enveloping algebras were obtained.
A more generalized framework for analyzing irreducibility in -graded algebras was established.

Dhali et al. (2026) studied this question.

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