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On strongly right bounded finite rings II

Published online by Cambridge University Press:  17 April 2009

Weimin Xue
Weimin Xue
Affiliation:
Department of Mathematics, Fujian Normal University, Fuzhou Fujian 350007, People's Republic of China
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Abstract

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An associative ring R is called a BT-ring if R is strongly right bounded, but not right duo, and not strongly left bounded. We show that the order of the smallest BT-rings (without unity) is 16, while we prove earlier that the order of the smallest unitary BT-rings is 32.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 3 , December 1992 , pp. 381 - 384
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Birkenmeier, G.F., ‘Split-null extensions of strongly right bounded rings’, Publ. Mat. 33 (1989), 37–44.Google Scholar
[2]Birkenmeier, G.F. and Heatherly, H.E., ‘Embeddings of strongly right bounded rings and algebras’, Comm. Algebra 17 (1989), 573–586.CrossRefGoogle Scholar
[3]Birkenmeier, G.F. and Tucci, R.P., ‘Homomorphic images and the singular ideal of a strongly right bounded ring’, Comm. Algebra 16 (1988), 1099–1112, 2661–2662.CrossRefGoogle Scholar
[4]Erickson, B.D., ‘Orders for finite noncommutative rings’, Amer. Math. Monthly 73 (1966), 376–377.CrossRefGoogle Scholar
[5]Xue, W., ‘On strongly right bounded finite rings’, Bull. Austral. Math. Soc. 44 (1991), 353–355.CrossRefGoogle Scholar