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arXiv · 2410.10823

Mutations of $\mathfrak{perm}$ algebras

Ivan Kaygorodov·Farukh Mashurov
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Abstract

We describe mutation elements in free $\mathfrak{perm}$ algebras. Moreover, we construct a base of free mutation of free $\mathfrak{perm}$ algebra. Using Cohn's criterion for the specialty of algebras, we show that there is an exceptional homomorphic image of mutation of free $\mathfrak{perm}$ algebras.

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Ivan Kaygorodov, Farukh Mashurov. 2024-09-18. Mutations of $\mathfrak{perm}$ algebras. https://arxiv.org/abs/2410.10823

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