English

On Centrally Essential Rings

Rings and Algebras 2024-01-24 v1

Abstract

A ring RR with center CC is said to be centrally essential if the module RCR_C is an essential extension of the module CCC_C. In this paper, we study properties of ideals of centrally essential rings, centrally essential quaternion algebras, and group rings of Hamiltonian groups.

Keywords

Cite

@article{arxiv.2401.12510,
  title  = {On Centrally Essential Rings},
  author = {Oleg Lyubimtsev and Askar Tuganbaev},
  journal= {arXiv preprint arXiv:2401.12510},
  year   = {2024}
}
R2 v1 2026-06-28T14:24:21.108Z