The finiteness of a ring with a finite maximal subring

DOI10.1080/00927879308824626zbMath0793.16009OpenAlexW2119151616MaRDI QIDQ4696692

Abraham A. Klein

Publication date: 29 June 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879308824626

zbMATH Keywords

PI-ringsfinite maximal subring

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (7)

Unnamed Item ⋮ Which fields have no maximal subrings? ⋮ Groups with all subgroups subnormal or nilpotent-by-Chernikov. ⋮ Unnamed Item ⋮ ALGEBRAS WITH A FINITE-DIMENSIONAL MAXIMAL SUBALGEBRA ⋮ On Minimal Extensions of Rings ⋮ On the existence of maximal subrings in commutative noetherian rings

Cites Work

• Some conditions for finiteness and commutativity of rings
• Subrings of finite index in finitely generated rings
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• Unnamed Item

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