UGC SPONSORED SEMINAR ON MATHEMATICAL METHODS IN SOCIAL SCIENCES
8th and 9th September 2004 Jamal Mohammed College Tiruchi, TN India
SMARANDACHE FREE GROUPOIDS AND ITS APPLICATION TO AUTOMATON W.B.Vasantha and Moon Kumar Chetry
The study of free groupoids is very new and we see that the free groupoids have its application to the theory of automaton provided they satisfy a special condition namely these free groupoids should contain at least a subset which is a free semigroup. Thus motivated by this property we define in this paper the notion of Smarandache free groupoid, these Smarandache free groupoids by their very definition contains at least one free semigroup. It may happen that these Smarandache free groupoids may have more than one free semigroup in which case we see still it has more applications, for we can define several automatons which can be easily linked for a free given groupoid. Thus we in this paper define Smarandache free groupoids and give its application to automaton or linked automatons, which we choose to call as New Smarandache Automaton or New Smarandache Linked Automaton.
All Rights Reserved. This work is Copyright Š W.B.Vasantha Kandasamy, and Moon Kumar Chetry, 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