some conditions for finiteness of a ring
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ID: 232412
1988
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Abstract
Extending a result of Putcha and Yaqub, we prove that a non-nil ring must be finite if it has both ascending chain condition and descending chain condition on non-nil subrings. We also prove that a periodic ring with only finitely many non-central zero divisors must be either finite or commutative.
| Reference Key |
bell1988internationalsome
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|---|---|
| Authors | ;Howard E. Bell |
| Journal | structural engineering and mechanics |
| Year | 1988 |
| DOI |
10.1155/S0161171288000286
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| URL | |
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