On Centrally Essential Rings

2024/01/23 by O. V. Lyubimtsev, Lyubimtsev, Oleg, A. A. Tuganbaev +1
Mathematics · #16D25 #16R99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2401.12510

openalex publication_date 2024/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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