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On weak $B$-bi-regular bi-near subtraction semigroup | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، Special Issue for selected papers of ICDACT-2021، خرداد 2022، صفحه 127-132 اصل مقاله (346.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6338 | ||
| نویسندگان | ||
| M. Fareeda Banu* ؛ S. Jayalakshmi | ||
| Department of Mathematics, Sri Parasakthi College for Women, Courtallam, Tamil Nadu-627801, India | ||
| تاریخ دریافت: 23 مرداد 1400، تاریخ بازنگری: 28 آذر 1400، تاریخ پذیرش: 25 دی 1400 | ||
| چکیده | ||
| We introduce weak $B$-bi-regular in bi-near subtraction semigroup and obtain properties of the same in a certain class of bi-near subtraction semigroup of $X$. | ||
| کلیدواژهها | ||
| weak $B$-bi-regular؛ $B$-bi-regular؛ bi-regular؛ $bar{S}$-bi-near subtraction semigroup؛ left (right) X-bi-algebra | ||
| مراجع | ||
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[1] J.L Jat and S.C Choudhary, On strict weakly regular near-rings, Math. Student 46 (1978), no. 2, 175–182. [2] S. Jayalakshmi. A study on Regularities in near rings, PhD thesis, Manonmaniam Sundaranar University, Tamil Nadu, India, 2003. [3] 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. [4] Y.B. Jun and H.S. Kim, On bi-ideals in subtraction algebras, Sci. Math. Jpn. 65 (2007), no. 1, 129–134. [5] A. Oswald, A near-ring N is which every N-subgroups, Princ. Proc. London Math. Soc. 3 (1974), no. 28, 67–88. [6] G. Pilz, Near-rings, North Holland, Amsterdam, 1983. [7] T. Tamizh Chelvam, Bi-ideals and B-regular near-rings, J. Ramanujan Math. Soc. 7 (1982), no. 2, 154–164. [8] B. Zelinka, Subtraction semigroups, Math. Bohem. 120 (1995), no. 4, 445–447. | ||
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