A commutativity-or-finiteness condition for rings
We show that a ring with only finitely many noncentral subrings must be either commutative or finite.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204405420 |
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Article |
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doaj-306c5d7ffe064276a5a59aaaf978c8602020-11-24T22:49:54ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004542863286510.1155/S0161171204405420A commutativity-or-finiteness condition for ringsAbraham A. Klein0Howard E. Bell1School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, IsraelDepartment of Mathematics, Brock University, St. Catharines, ON L2S3A1, CanadaWe show that a ring with only finitely many noncentral subrings must be either commutative or finite.http://dx.doi.org/10.1155/S0161171204405420 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Abraham A. Klein Howard E. Bell |
| spellingShingle |
Abraham A. Klein Howard E. Bell A commutativity-or-finiteness condition for rings International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Abraham A. Klein Howard E. Bell |
| author_sort |
Abraham A. Klein |
| title |
A commutativity-or-finiteness condition for rings |
| title_short |
A commutativity-or-finiteness condition for rings |
| title_full |
A commutativity-or-finiteness condition for rings |
| title_fullStr |
A commutativity-or-finiteness condition for rings |
| title_full_unstemmed |
A commutativity-or-finiteness condition for rings |
| title_sort |
commutativity-or-finiteness condition for rings |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2004-01-01 |
| description |
We show that a ring with only finitely many noncentral subrings must be either commutative or finite. |
| url |
http://dx.doi.org/10.1155/S0161171204405420 |
| work_keys_str_mv |
AT abrahamaklein acommutativityorfinitenessconditionforrings AT howardebell acommutativityorfinitenessconditionforrings AT abrahamaklein commutativityorfinitenessconditionforrings AT howardebell commutativityorfinitenessconditionforrings |
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