Browse > Article
http://dx.doi.org/10.14403/jcms.2013.26.1.037

ON SUBTRACTIVE EXTENSION OF SUBSEMIMODULES OF SEMIMODULES  

Chaudhari, Jayprakash Ninu (Department of Mathematics M.J. College)
Bonde, Dipak Ravindra (Department of Mathematics ACS College)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.1, 2013 , pp. 37-44 More about this Journal
Abstract
Let R be a commutative semiring with $1_R{\neq}0_R$. Characterization of subsemimodules, prime subsemimodules and primary subsemimodules which are subtractive extensions of Q-subsemimodules in R-semimodules are investigated.
Keywords
semiring; subtractive subsemimodule; Q-subsemimodule; quotient semimodule; subtractive extension of a subsemimodule;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 P. J. Allen, A fundamental theorem of homomorphism for semirings, Proc. Amer. Math. Soc. 21 (1969), 412-416.
2 R. E. Atani, S. E. Atani, On subsemimodules of semimodules, Buletinul Acad. Sci. Republ. Moldova, ser. Math., Number 2 (63) (2010), 20-30.
3 J. N. Chaudhari and D. R. Bonde, On Partitioning and Subtractive Subsemi-modules of Semimodules over Semirings, Kyungpook Math. J. 50 (2010), 329- 336.   DOI   ScienceOn
4 J. N. Chaudhari and D. R. Bonde, weakly prime subsemimo-dules of semimodules over semirings, International J. Algebra, 5 (2011), no. 1-4, 167-174.
5 J. N. Chaudhari and D. R. Bonde, On direct sum of partitioning subsemimod- ules of semimodules over semirings, Journal of Advanced Research in Pure Mathematics, 4 (2012), Issue. 1, 81-88.   DOI
6 J. S. Golan, Semiring and their applications, Kluwer Academic publisher Dordrecht, 1999.
7 V. G. and J. N. Chaudhari, Characterization of weakly prime subtractive ideals in semirings, Bull. Inst. Math. Acad. Sinica (New Series) 3 (2008), 347-352.
8 G. Yesilot, On prime and maximal k-subsemimodules of semimodules, Hacettepe Journal of Mathematics and Statistics, 39 (3) (2010), 305-312.
9 G. Yesilot, K. H. Oral and U. Tekir, On prime subsemimodules of semimodules, International Journal of Algebra, 4 (2010), no. 1, 53-60.