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Strong bi-ideals in bi-near subtraction semigroup | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، Special Issue for selected papers of ICDACT-2021، خرداد 2022، صفحه 109-116 اصل مقاله (329.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6336 | ||
| نویسندگان | ||
| M. Fareeda Banu؛ S. Jayalakshmi* | ||
| Department of Mathematics, Sri Parasakthi College for Women, Courtallam, Tamil Nadu-627801, India | ||
| تاریخ دریافت: 21 مرداد 1400، تاریخ بازنگری: 23 آذر 1400، تاریخ پذیرش: 25 دی 1400 | ||
| چکیده | ||
| We study certain things connecting strong bi-ideals of bi-near subtraction semigroup in a sub commutative $S$-bi-near subtraction semigroup. A bi-ideals $B$ of $X$ is strong bi-ideals if $X_1B_1^2\subseteq B_1$ (or $X_2B_2^2\subseteq B_2$) denotes $XB^2\subseteq B$. | ||
| کلیدواژهها | ||
| $S$-bi-near subtraction semigroup؛ sub commutative؛ bi-ideals | ||
| مراجع | ||
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[1] S. Jayalakshmi, A study on Regularities in near rings, PhD thesis, Manonmaniam Sundaranar University, Tamil Nadu, 2003. [2] S. Jayalakshmi, V. Mahalakshmi and S. Maharasi, On strong bi-ideals and weak k-regular in near subtraction semigroups, IJMM 9 (2016), no. 2, 181–183. [3] Y.B. Jun and H.S. Kim, On bi-ideals in subtraction algebras, Sci. Math. Jpn. 65 (2007), no. 1, 129–134. [4] P. Gunter, Near-rings, North Holland, Amsterdam, 1983. [5] T. Tamizh Chelvam and S. Jayalakshmi, Generalized (m, n) bi-ideals in near rings, Proc. India. Acad. Sci. (Math. Sci.) 112 (2002), no.4, 479–483. [6] T. Tamizh Chelvam and N. Ganesan, On bi-ideals of near-rings, Indian J. Pure Appl. Math. 18 (1987), no. 11, 1002–1005. [7] B. Zelinka, Subtraction semigroups, Math. Bohem. 120 (1995), no.4, 445–447. | ||
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