Direct Sums of Prime Subsemimodules
DOI:
https://doi.org/10.20956/j.v18i2.16669Keywords:
prime subsemimodules, fully prime semimodules, semiringsAbstract
Let be a commutative semiring. A semimodule over a semiring is a fully prime semimodule if each proper subsemimodule of is prime. This research aims to investigate the relationship between a direct sum of prime subsemimodules and , , and a fully prime semimodule.
References
Anwar, A. M., Garminia, H. & Irawati, 2018. On the prime subsemimodules of multiplication semimodules. Far East Journal of Mathematical Sciences, 106(1), 151–157.
Dubey, M. & Sarohe, P., 2015. Generalizations of prime subsemimodules. Southeast Asian Bulletin of Mathematics, 39, 469-476.
Han, S.-C, 2017. Maximal and prime k-subsemimodules in semimodules over semirings. Journal of Algebra and Its Applications, 16, 1750130, 11pp.
M. Takahashi, 1981. On the bordism categories II: Elementary properties of semimodules. Math. Seminar Notes Kobe Univ, 9(2), 495-530
Shabir, M. & Iqbal, M.,2007. One-sided Prime Ideals in Semirings. Kyungpook Mathematical Journal, 47, 473–480.
Vandiver, H. S., 1934. Note on a simple type of algebra in which cancellation law of addition does not hold. Bull. Amer. Math. Soc, 40, 914-920..
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Author and publisher
This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Jurnal Matematika, Statistika dan Komputasi is an Open Access journal, all articles are distributed under the terms of the Creative Commons Attribution License, allowing third parties to copy and redistribute the material in any medium or format, transform, and build upon the material, provided the original work is properly cited and states its license. This license allows authors and readers to use all articles, data sets, graphics and appendices in data mining applications, search engines, web sites, blogs and other platforms by providing appropriate reference.