English

Mutations of $\mathfrak{perm}$ algebras

Rings and Algebras 2024-10-16 v1

Abstract

We describe mutation elements in free perm\mathfrak{perm} algebras. Moreover, we construct a base of free mutation of free perm\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 perm\mathfrak{perm} algebras.

Keywords

Cite

@article{arxiv.2410.10823,
  title  = {Mutations of $\mathfrak{perm}$ algebras},
  author = {Ivan Kaygorodov and Farukh Mashurov},
  journal= {arXiv preprint arXiv:2410.10823},
  year   = {2024}
}