Some conditions for finiteness of a ring
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.
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| Autor principal: | |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
Wiley
1988-01-01
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| coleção: | International Journal of Mathematics and Mathematical Sciences |
| Assuntos: | |
| Acesso em linha: | http://dx.doi.org/10.1155/S0161171288000286 |
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