Strong bi-ideals in bi-near subtraction semigroup

Document Type : Research Paper


Department of Mathematics, Sri Parasakthi College for Women, Courtallam, Tamil Nadu-627801, India


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 $XB^2\subseteq B$.


[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,
[7] B. Zelinka, Subtraction semigroups, Math. Bohem. 120 (1995), no.4, 445–447.
Volume 13, Special Issue for selected papers of ICDACT-2021
The link to the conference website is
March 2022
Pages 109-116
  • Receive Date: 12 August 2021
  • Revise Date: 14 December 2021
  • Accept Date: 15 January 2022