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ISRN Algebra
Volume 2011 (2011), Article ID 142403, 9 pages
http://dx.doi.org/10.5402/2011/142403
Research Article

Weakly Injective BCK-Modules

1Department of Mathematical Sciences, Saginaw Valley State University, 7400 Bay Road, University Center, MI 48710-0001, USA
2Department of Mathematics, University of Oregon, Eugene, OR 97403, USA

Received 7 June 2011; Accepted 21 July 2011

Academic Editors: V. K. Dobrev and Y.-H. Quano

Copyright © 2011 Olivier A. Heubo-Kwegna and Jean B. Nganou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We introduce the notion of weakly injective BCK-module and show that Baer's criterion holds for weakly injective BCK-modules but not for injective BCK-modules in general. We also provide examples and counterexamples of weakly injective BCK-modules.