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arXiv · 2603.20302

Integro-derivation Dzhumadildaev algebras: from the algebra of polynomials

Ivan Kaygorodov·Naurizbay Uzakbaev
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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.

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Ivan Kaygorodov, Naurizbay Uzakbaev. 2026-03-19. Integro-derivation Dzhumadildaev algebras: from the algebra of polynomials. https://arxiv.org/abs/2603.20302

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