NATIONAL SYMPOSIUM ON MATHEMATICAL METHODS AND APPLICATIONS
22nd December 2004 Indian Institute of Technology, Madras Chennai, TN India
S-biquasigroups and its properties W.B.Vasantha Kandasamy and Y.S.Showriraju Department of Mathematics Indian Institute of Technology Chennai – 600 036
The concept of bi-semigroups and S-bisemigroups are very recent, defined in 2003. Here we define some more special classes which are generalizations of bi-semigroups and biquasi groups. S-biquasi group is defined as a set with two binary operations + and • such that S = S1 ∪ S2, S1 and S2 are proper subsets and (S1, +) is S-semigroup and (S2, •) is just a semigroup. S-normal sub bi-quasi group and S-p-sylow sub bi-quasi groups are defined and some interesting results analogus to classical theorems are obtained on these new algebraic structures.
All Rights Reserved. This work is Copyright © W.B.Vasantha Kandasamy, and Y.I.Showri Raju 2004. Mathematicians can use the above material for research purposes, but the work of the author(s) *must* be acknowledged. Violators of copyright, and those indulging in plagiarism and intellectual theft are liable for strict prosecution. e-mail: vasantha@iitm.ac.in web: www.vasanthakandasamy.org