A Note on Right Full $k$-Ideals of Seminearrings

Authors

  • Nanthaporn Kornthorng Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand

DOI:

https://doi.org/10.26713/jims.v4i3.90

Keywords:

Semiring, (additively inverse) seminearring, (right full) $k$-ideal, (modular) complete lattice

Abstract

This work extends the idea of $k$-ideals of semirings to seminearrings, the concept of $k$-ideals of seminearrings is introduced and investigated, which is an interesting for seminearrings and some interesting characterizations of $k$-ideals of seminearrings are obtained. Also, we prove that the set of all right full $k$-ideals of an additively inverse seminearring in which addition is commutative forms a complete lattice which is also modular in the same way as of the results of Sen and Adhikari.

Downloads

Download data is not yet available.

Downloads

CITATION

How to Cite

Kornthorng, N., & Iampan, A. (2012). A Note on Right Full $k$-Ideals of Seminearrings. Journal of Informatics and Mathematical Sciences, 4(3), 255–261. https://doi.org/10.26713/jims.v4i3.90

Issue

Vol. 4 No. 3 (2012)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.