2019/07/01 by Victor Markov, Markov, Victor, Askar Tuganbaev +1 · 1 citation
Mathematics · #16D99 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16D99
paper · pdf · doi:10.48550/arxiv.1907.00946
arxiv created 2019/07/04 · arxiv updated 2019/07/05
It is proved that a ring R is a right uniserial, right Noetherian centrally essential ring if and only if R is a commutative discrete valuation domain or a left and right Artinian, left and right uniserial ring. It is also proved that there exist non-commutative uniserial Artinian centrally essential rings. Victor Markov is supported by the Russian Foundation for Basic Research, project 17-01-00895-A. Askar Tuganbaev is supported by Russian Scientific Foundation, project 16-11-10013.