On zero subrings and periodic subrings
We give new proofs of two theorems on rings in which every zero subring is finite; and we apply these theorems to obtain a necessary and sufficient condition for an infinite ring with periodic additive group to have an infinite periodic subring.
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006044 |
| Summary: | We give new proofs of two theorems on rings in which
every zero subring is finite; and we apply these
theorems to obtain a necessary and sufficient condition
for an infinite ring with periodic additive group to
have an infinite periodic subring. |
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| ISSN: | 0161-1712 1687-0425 |