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Finite rings with a large number of zero divisors
A. N. Alekseichuk, V. P. Elizarov
Abstract:
If $R$ is an associative ring with $n>1$ left-hand zero divisors, then $|R|\leqslant n^2$. We sharpen this estimate for rings that are nonlocal from the left. We describe nonlocal rings with identity, for which an improved estimate can be obtained, and also rings with the condition $|R|=(n-k)(n-l)$, where $k=1,2$ and $l=0,1$.
Received: 22.04.1991
Citation:
A. N. Alekseichuk, V. P. Elizarov, “Finite rings with a large number of zero divisors”, Diskr. Mat., 4:2 (1992), 45–51; Discrete Math. Appl., 3:1 (1993), 51–57
Linking options:
https://www.mathnet.ru/eng/dm729 https://www.mathnet.ru/eng/dm/v4/i2/p45
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Statistics & downloads: |
Abstract page: | 481 | Full-text PDF : | 190 | First page: | 1 |
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