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arXiv · 1309.1134

A "q-deformed" generalization of the Hosszu-Gluskin theorem

Steven Duplij
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Abstract

In this paper a new form of the Hosszú-Gluskin theorem is presented in terms of polyadic powers and using the language of diagrams. It is shown that the Hosszú-Gluskin chain formula is not unique and can be generalized ("deformed") using a parameter q which takes special integer values. A version of the "q-deformed" analog of the Hosszú-Gluskin theorem in the form of an invariance is formulated, and some examples are considered. The "q-deformed" homomorphism theorem is also given.

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Steven Duplij. 2014-09-08. A "q-deformed" generalization of the Hosszu-Gluskin theorem. https://doi.org/10.2298/fil1611985d

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