Uniserial Artinian centrally essential rings

DOI10.1007/s13366-019-00463-wzbMath1490.16086OpenAlexW2955816493WikidataQ114687581 ScholiaQ114687581MaRDI QIDQ2292896

Viktor T. Markov, Askar A. Tuganbaev

Publication date: 6 February 2020

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-019-00463-w

zbMATH Keywords

uniserial ringArtinian ringcentrally essential ring

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Noncommutative local and semilocal rings, perfect rings (16L30) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (7)

Distributive Noetherian centrally essential rings ⋮ Local centrally essential subalgebras of triangular algebras ⋮ Victor Timofeevich Markov (21.06.1948 -- 15.07.2019) ⋮ Centrally essential torsion-free rings of finite rank ⋮ Centrally essential rings ⋮ Centrally essential endomorphism rings of abelian groups ⋮ Centrally essential group algebras and classical rings of fractions

Cites Work

• Centrally essential group algebras
• On Commutativity of Ideal Extensions
• FINITE PRINCIPAL IDEAL RINGS
• Rings essential over their centers
• Some results on the center of a ring with polynomial identity
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