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International Conference on Applicable General Topology
August 12-18, 2001
Hacettepe University
Ankara, Turkey

Organizers
L. M. Brown (Ankara), G. Brümmer (Cape Town), M. Diker (Ankara), M. Henriksen (Claremont), R. D. Kopperman (New York), G. M. Reed (Oxford), I. L. Reilly (Auckland), S. Salbany (Pretoria), D. Spreen (Siegen)

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A note on derivation on l-rings
by
Homeira Pajoohesh
Shahid Beheshti University, Tehran, Iran
Coauthors: M. Mehdi Ebrahimi (Shahid Beheshti University)

Here, we first investigate some properties of inner derivations on a lattice ordered ring (l-ring) R regarding the commutatvity of R. Then, we consider derivations which are endomorphisims or antiendomorphisims and giving some conditions for such a derivations to be zero, generalizing some of the results of Bell and Kappe [1] about rings for l-rings in this regard. Finally, we give some remarks on the po-group of all derivations on the l-ring R.

Reference

[1] H.E. Bell and L.C. Kappe, Rings in which derivations satisfy certain algebraic conditions, Acta Math. Hung. 53 (3-4), 1989, 339-346

Date received: June 25, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagx-25.