• BI-MONOID MULTIPLICATION ON SUBARTEX SPACES

K. MUTHUKUMARAN*

Abstract


When we introduced Artex Spaces over bi-monoids, we gave many examples. Many propositions were found and proved. As a development of it we introduced SubArtex Spaces of Artex Spaces over bi-monoids. Many propositions and results were found and proved in SubArtex Spaces of Artex Spaces over bi-monoids. Now for an Artex Space       (A, Ʌ, V) over a bi-monoid (M, +, .) and  a SubArtex space S of A and for mϵM, mǂ0, we define the bi-monoid multiplication  on S. We prove some propositions. The bi-monoid multiplication on S is a subset of S and it is a SubArtex space of A. We give some examples.


Keywords


Bi-monoids, Bi-commutative monoids, Artex Spaces over bi-monoids, SubArtex Spaces of Artex Spaces over bi-monoids.

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