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Article . 2018
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Exactness Of Commutative (Implicative) Soft G-Modules

Authors: N. Rajakumari; J. Arun Micheal;

Exactness Of Commutative (Implicative) Soft G-Modules

Abstract

{"references": ["1.\tHong S.M. and Jun Y.B., Fuzzy and level subalgebras of BCK (BCI) algebras Pusan Kyongnam Math. J. (Presently, East Asain Math. J.), 7(2) (1991), 185-190. 2.\tIseki. K. On BCI-algebras. Math. Sem. Notes 8 (1980) 125 \u2013 130. 3.\tJun Y. B., Hong A.M.T, Kim A. T. and Song S. Z., Fuzzy ideals and fuzzy subalgebras of BCK-algebras, J. fuzzy Math, 7(2) (1999), 411-418. 4.\tLiu Y. L, Meng J. and Xu Y., BCI-implicative ideals of BCI-algebras, Information Sciences (2007) 1 - 10. Journal of New Theory 23 (2018) 1-12. 5.\tLiu Y. L., S. Y. Liu S. Y., Meng J. FSI-ideals and FSC-ideals of BCl-algebras Bull. Korean Math. Soc. 41 (2004), No.1, pp. 167-179. 6.\tA. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Top. 5 (2017), no. 1, 35\u201354. 7.\tSenapati, T. and Shum K. P., Atanassov's intuitionistic fuzzy bi-normed KU subalgebrs of a KU-algebra, Missouri J. Math. Sci., Volume 29, Issue 1 (2017), 92-112. 8.\tSenapati T., T-fuzzy KU-ideals of KU-algebras, June 2018, Volume 29, Issue 3\u20134, pp 591\u2013600 Afrika Matematika. 9.\tMostafa S. M., Abd-Elnaby M. and Yousef M. M., Fuzzy ideals of KU-Algebras, International Math.Forum, Vol.6, (2011), no.63, 3139-3149. 10.\tMostafa S. M., Kareem F. F., N-Fold Commutative KU-Algebras International Journal of Algebra, Vol. 8, 2014, no. 6, 267 \u2013 275. 11.\tMostafa S. M., Omar R. A. K, Abd El- Baseer, O. W., Sub implicative ideals of KUAlgebras, International Journal of Modern Science and Technology Vol. 2, No. 5, 2017. Page 223-227. 12.\tRadwan A. E., Mostafa S. M., Ibrahem F. A. & Kareem F. F., Topology spectrum of a KU-Algebra. Journal of New Theory 5 (2015) Year: 2015, Number: 8, Pages: 78-91. 13.\tPrabpayak C. and Leerawat U., On ideals and congruence in KU-algebras, Scientia Magna Journal, Vol. 5(2009), No.1, 54-57. 14.\tPrabpayak C. and Leerawat U., Onisomorphisms of KU-algebras, Scientia Magna Journal, 5(2009), no. 3, 25-31. 15.\tXi O. G., Fuzzy BCK-algebras, Math. Japan, 36 (1991) 935-942. [15] Zadeh L. A., Fuzzy sets, Inform. and Control, 8 (1965) 338-353. 16.\tL. A. Zadeh, Fuzzy sets, Inf. Cont. 8 (1965), 338\u2013353."]}

In this paper, we obtain some characterizations for soft sub modules of modules with respect to image, pre image and upper a-inclusion.

Keywords

Soft Set, Soft Homomorphism, Epimorphism, Soft Modules, UP-Module, Partially Ordered Set, Pre Image & Bounded

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