English

A note on ${(\sigma,\tau)}$-Derivations on Commutative Algebras

Rings and Algebras 2020-04-15 v2

Abstract

We study universal mapping properties of (σ,τ)(\sigma,\tau)-derivations over commutative algebras and characterize them over rings of integers of quadratic number fields. As a result we provide extension of some well known results on UFD's of such derivations to certain non-UFD's as well.

Keywords

Cite

@article{arxiv.1912.12812,
  title  = {A note on ${(\sigma,\tau)}$-Derivations on Commutative Algebras},
  author = {Dishari Chaudhuri},
  journal= {arXiv preprint arXiv:1912.12812},
  year   = {2020}
}

Comments

Some anomalies in the proof of one of the main theorems removed

R2 v1 2026-06-23T12:58:43.961Z