Centrally essential rings
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Viktor T. Markov
Abstract
A centrally essential ring is a ring which is an essential extension of its center (we consider the ring as a module over its center). We give several examples of noncommutative centrally essential rings and describe some properties of centrally essential rings.
Originally published in Diskretnaya Matematika (2018) 30, №2, 55–61 (in Russian).
Funding: V. T. Markov was supported by the Russian Foundation for Basic Research, project 17-01-00895-A. A. A. Tuganbaev was supported by Russian Scientific Foundation, project 16-11-10013.
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Convergence to the local time of Brownian meander
- Cardinality of generating sets for operations from the Post lattice classes
- Existence of words over a binary alphabet free from squares with mismatches
- Centrally essential rings
- Improved asymptotic estimates for the numbers of correlation-immune and k-resilient vectorial Boolean functions
Artikel in diesem Heft
- Frontmatter
- Convergence to the local time of Brownian meander
- Cardinality of generating sets for operations from the Post lattice classes
- Existence of words over a binary alphabet free from squares with mismatches
- Centrally essential rings
- Improved asymptotic estimates for the numbers of correlation-immune and k-resilient vectorial Boolean functions
