On the structure of C-algebras through atomicity and if-then-else

04/02/2018

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by   Gayatri Panicker, et al.

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This paper introduces the notions of atoms and atomicity in C-algebras and obtains a characterisation of atoms in the C-algebra of transformations. Further, this work presents some necessary conditions and sufficient conditions for the atomicity of C-algebras and shows that the class of finite atomic C-algebras is precisely that of finite adas. This paper also uses the if-then-else action to study the structure of C-algebras and classify the elements of the C-algebra of transformations.