Some conditions for finiteness and commutativity of rings

We present several new sufficient conditions for a ring to be finite; we give two conditions which for periodic rings R imply that R must be either finite or commutative; and we study commutativity in rings with only finitely many non-central subrings.

Bibliographic Details
Main Authors:	Howard E. Bell, Franco Guerriero
Format:	Article
Language:	English
Published:	Hindawi Limited 1990-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	finiteness of rings periodic rings commutativity.
Online Access:	http://dx.doi.org/10.1155/S0161171290000771

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spelling	doaj-3d96af0b8a0340ed8a4d38d043078adf2020-11-24T22:04:18ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113353554410.1155/S0161171290000771Some conditions for finiteness and commutativity of ringsHoward E. Bell0Franco Guerriero1Department of Mathematics, Brock University, Ontario, St. Catharines L2S 3A1, CanadaDepartment of Mathematics, Brock University, Ontario, St. Catharines L2S 3A1, CanadaWe present several new sufficient conditions for a ring to be finite; we give two conditions which for periodic rings R imply that R must be either finite or commutative; and we study commutativity in rings with only finitely many non-central subrings.http://dx.doi.org/10.1155/S0161171290000771finiteness of ringsperiodic ringscommutativity.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Howard E. Bell Franco Guerriero
spellingShingle	Howard E. Bell Franco Guerriero Some conditions for finiteness and commutativity of rings International Journal of Mathematics and Mathematical Sciences finiteness of rings periodic rings commutativity.
author_facet	Howard E. Bell Franco Guerriero
author_sort	Howard E. Bell
title	Some conditions for finiteness and commutativity of rings
title_short	Some conditions for finiteness and commutativity of rings
title_full	Some conditions for finiteness and commutativity of rings
title_fullStr	Some conditions for finiteness and commutativity of rings
title_full_unstemmed	Some conditions for finiteness and commutativity of rings
title_sort	some conditions for finiteness and commutativity of rings
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1990-01-01
description	We present several new sufficient conditions for a ring to be finite; we give two conditions which for periodic rings R imply that R must be either finite or commutative; and we study commutativity in rings with only finitely many non-central subrings.
topic	finiteness of rings periodic rings commutativity.
url	http://dx.doi.org/10.1155/S0161171290000771
work_keys_str_mv	AT howardebell someconditionsforfinitenessandcommutativityofrings AT francoguerriero someconditionsforfinitenessandcommutativityofrings
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Some conditions for finiteness and commutativity of rings

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