On Centrally Essential Rings
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909080525733888 |
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| author | Lyubimtsev, Oleg Tuganbaev, Askar |
| author_facet | Lyubimtsev, Oleg Tuganbaev, Askar |
| contents | A ring $R$ with center $C$ is said to be centrally essential if the module $R_C$ is an essential extension of the module $C_C$. In this paper, we study properties of ideals of centrally essential rings, centrally essential quaternion algebras, and group rings of Hamiltonian groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Centrally Essential Rings Lyubimtsev, Oleg Tuganbaev, Askar Rings and Algebras 16D25, 16R99 A ring $R$ with center $C$ is said to be centrally essential if the module $R_C$ is an essential extension of the module $C_C$. In this paper, we study properties of ideals of centrally essential rings, centrally essential quaternion algebras, and group rings of Hamiltonian groups. |
| title | On Centrally Essential Rings |
| topic | Rings and Algebras 16D25, 16R99 |
| url | https://arxiv.org/abs/2401.12510 |