• ARTEX SPACES OVER BI-MONOIDS

K. Muthukumaran*, M. Kamaraj**

Abstract


In this chapter we define Doubly Closed Space, Bi-semi-group, Semi-bi-semi-group, Bi-monoid, Semi-bi-monoid, Bi-group, Semi-bi-group, Bi-commutative monoid, Semi-bi-commutative monoid and we introduce a new space called an Artex Space over a Bi-monoid. We give some examples of Artex space over bi-monoid. Also we prove some Proposit- ions on Artex Spaces over bi-monoids.

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