English

Rings which are Essential over their Centers, II

Rings and Algebras 2018-01-03 v1

Abstract

A ring RR with center CC is said to be\textit{centrally essential} if the module RCR_C is an essential extension of the module CCC_C. We describe centrally essential exterior algebras of finitely generated free modules over not necessary commutative rings and study properties of semi-Artinian centrally essential rings. V.T.Markov is supported by the Russian Foundation for Basic Research, project 17-01-00895-A.~ A.A. Tuganbaev is supported by Russian Scientific Foundation, project 16-11-10013.

Keywords

Cite

@article{arxiv.1801.00653,
  title  = {Rings which are Essential over their Centers, II},
  author = {Victor Markov and Askar Tuganbaev},
  journal= {arXiv preprint arXiv:1801.00653},
  year   = {2018}
}
R2 v1 2026-06-22T23:34:24.632Z