Integro-derivation Dzhumadildaev algebras: from the algebra of polynomials
Rings and Algebras
2026-03-24 v1
Abstract
This paper introduces and investigates some properties of algebras constructed from the algebra of polynomials via derivation and integration operators using a process presented by Dzhumadildaev in a previous work. In particular, we discover new classes of infinite-dimensional simple conservative algebras and describe derivations of these algebras of ranks 1 and 2.
Keywords
Cite
@article{arxiv.2603.20302,
title = {Integro-derivation Dzhumadildaev algebras: from the algebra of polynomials},
author = {Ivan Kaygorodov and Naurizbay Uzakbaev},
journal= {arXiv preprint arXiv:2603.20302},
year = {2026}
}
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36 pages