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Abstract
A ring R with center C is said to be centrally essential if the module RC is an essential extension of the module CC. 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.
Acknowledgements
The authors are sincerely grateful to the reviewer for careful reading of the article and suggesting many valuable improvements and comments.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
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.