Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-23T02:11:19.039Z Has data issue: false hasContentIssue false

On strongly right bounded finite rings II

Published online by Cambridge University Press:  17 April 2009

Weimin Xue
Affiliation:
Department of Mathematics, Fujian Normal University, Fuzhou Fujian 350007, People's Republic of China
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Birkenmeier, G.F., ‘Split-null extensions of strongly right bounded rings’, Publ. Mat. 33 (1989), 3744.Google Scholar
[2]Birkenmeier, G.F. and Heatherly, H.E., ‘Embeddings of strongly right bounded rings and algebras’, Comm. Algebra 17 (1989), 573586.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), 10991112, 26612662.CrossRefGoogle Scholar
[4]Erickson, B.D., ‘Orders for finite noncommutative rings’, Amer. Math. Monthly 73 (1966), 376377.CrossRefGoogle Scholar
[5]Xue, W., ‘On strongly right bounded finite rings’, Bull. Austral. Math. Soc. 44 (1991), 353355.CrossRefGoogle Scholar