Straddles on ternary semigroups

Volume 19, Issue 4, pp 246--250 http://dx.doi.org/10.22436/jmcs.019.04.04

Publication Date: June 21, 2019 Submission Date: March 19, 2019 Revision Date: May 30, 2019 Accteptance Date: June 15, 2019

Download PDF

Download XML

1988 Downloads
3576 Views

Authors

Phoschanun Ratanaburee - Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand. Thananya Kaewnoi - Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand. Ronnason Chinram - Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand. - Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400, Thailand.

Abstract

A ternary semigroup is a nonempty set with a ternary operation satisfy the associative law. In this paper, we define straddles on ternary semigroups and investigate some properties of straddles of ternary semigroups.

Share and Cite

ISRP Style

Phoschanun Ratanaburee, Thananya Kaewnoi, Ronnason Chinram, Straddles on ternary semigroups, Journal of Mathematics and Computer Science, 19 (2019), no. 4, 246--250

AMA Style

Ratanaburee Phoschanun, Kaewnoi Thananya, Chinram Ronnason, Straddles on ternary semigroups. J Math Comput SCI-JM. (2019); 19(4):246--250

Chicago/Turabian Style

Ratanaburee, Phoschanun, Kaewnoi, Thananya, Chinram, Ronnason. "Straddles on ternary semigroups." Journal of Mathematics and Computer Science, 19, no. 4 (2019): 246--250

Keywords

Straddles
ternary semigroups
commutative elements
homomorphisms

MSC

20N10
20M10

References

[1] M. Y. Abbasi, S. A. Khan, On some generalized ideals in ternary semigroups, Quasigroups Related Systems, 25 (2017), 181--188

[2] M. A. Ansari, N. Yaqoob, T-rough ideals in ternary semigroups, Int. J. Pure Appl. Math., 86 (2013), 411--424
- View Article
- Google Scholar

[3] P. Bindu, S. Yella, M. Rao Dasari, $T$-systems in ternary semigroups, Ital. J. Pure Appl. Math., 34 (2015), 221--224

[4] P. Choosuwan, R. Chinram, A study on quasi-ideals in ternary semigroups, Int. J. Pure Appl. Math., 77 (2012), 639--647
- View Article
- Google Scholar

[5] V. N. Dixit, S. Dewan, A note on quasi and bi-ideals in ternary semigroups, Internat. J. Math. Math. Sci., 18 (1995), 501--508

[6] S. P. Franklin, J. W. Lindsay, Straddles on semigroups, Math. Mag., 34 (1960/61), 269--270

[7] A. Iampan, Some properties of ideal extensions in ternary semigroups, Iran. J. Math. Sci. Inform., 8 (2013), 67--74

[8] D. H. Lehmer, A ternary analogue of abelian groups, Amer. J. Math., 54 (1932), 329--338

[9] J. Łoś, On the extending of models $(I)^*$, Fund. Math., 42 (1955), 38--54

[10] P. Petchkhaew, R. Chinram, Fuzzy, rough and rough fuzzy ideals in ternary semigroups, Int. J. Pure Appl. Math., 56 (2009), 21--36

[11] A. M. Rezvi, J. Mehmood, On prime fuzzy bi-ideals in ternary semigroups, Mat. Vesnik, 64 (2012), 79--96

[12] S. Saelee, R. Chinram, A study on rough, fuzzy and rough fuzzy bi-ideals of ternary semigroups, IAENG Int. J. Appl. Math., 41 (2011), 172--176

[13] M. L. Santiago, S. Sri Bala, Ternary semigroups, Semigroup Forum, 81 (2010), 380--388

[14] F. M. Sioson, Ideal theory in ternary semigroups, Math. Japon., 10 (1965), 63--84

[15] S. Suebsung, R. Chinram, Interval valued fuzzy ideal extensions of ternary semigroups, Int. J. Math. Comput. Sci., 13 (2018), 15--27

[16] B. Thongkam, T. Changphas, On two-sided bases of ternary semigroups, Quasigroups Related Systems, 23 (2015), 319--324

[17] N. Yaqoob, M. Khan, M. Akram, A. Khan, Interval valued intuitionistic $(\overline{s}, \overline{t})$-fuzzy ideals of ternary semigroups, Indian J. Sci. Technol., 6 (2013), 5418--5428
- View Article