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Some conditions for finiteness and commutativity of rings

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Publication:922623
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DOI10.1155/S0161171290000771zbMath0711.16011OpenAlexW2153819371MaRDI QIDQ922623

Franco Guerriero, Howard E. Bell

Publication date: 1990

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46524


zbMATH Keywords

finitenesscommutativityzero divisorsperiodic ringfinite maximal subringnoncentral subringssubrings of infinite index


Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)


Related Items (10)

Hereditary properties between a ring and its maximal subrings ⋮ Unnamed Item ⋮ Unital rings with cardinality restrictions on unital subrings ⋮ Which fields have no maximal subrings? ⋮ Groups with all subgroups subnormal or nilpotent-by-Chernikov. ⋮ ALGEBRAS WITH A FINITE-DIMENSIONAL MAXIMAL SUBALGEBRA ⋮ Commutativity conditions for rings: 1950-2005. ⋮ The finiteness of a ring with a finite maximal subring ⋮ On Minimal Extensions of Rings ⋮ On the existence of maximal subrings in commutative noetherian rings




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