Abstract
The usual kind of near-ring modules for left near-rings are right modules. But there are examples of left near-rings acting on the left of the group. Motivated by these, Grainger [2] defined formally left modules for left near-rings. This concept enabled him to define bimoduls, dual modules etc. In this paper, by using Grainger’s work, the concept of tensor product of ring modules is generalised to the near-ring modules.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Clay, J. R. (1992) Nearrings — Geneses and Applications, Oxford University Press, Oxford.
Grainger, G. (1988) Left modules for left near-rings, Doctoral Thesis, Univ. of Arizona.
Hungerford, T. W. (1974) Algebra, Springer-Verlag, New York.
Mathna, N. M. Q. (1990) Near-rings and their modules, M. Sc. Thesis, King Saud University, Riyadh.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Kluwer Academic Publishers
About this chapter
Cite this chapter
Mahmood, S.J., Mansouri, M.F. (1997). Tensor Product of Near-Ring Modules. In: Saad, G., Thomsen, M.J. (eds) Nearrings, Nearfields and K-Loops. Mathematics and Its Applications, vol 426. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1481-0_26
Download citation
DOI: https://doi.org/10.1007/978-94-009-1481-0_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7163-5
Online ISBN: 978-94-009-1481-0
eBook Packages: Springer Book Archive