IDEALS OF <font>C</font>-ALGEBRAS

This paper introduces the notions of atoms and atomicity in Calgebras 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.2010 Mathematics Subject Classification. 08A70, 03G25 and 68N15.

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

Panicker

Krishna

Bhaduri

2020

Algebra Univers.

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α -fuzzy ideals of C-algebra

Engidaw,

Norahun,

Addis

et al. 2024

Research in Mathematics

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On Annihilator Ideals of C-Algebras

Rao

2013

Asian-European J. Math.

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The concept of annihilator ideals is introduced in C-algebras. Some properties of these annihilator ideals are studied and then proved that the class of all annihilator ideals forms a complete Boolean algebra. A set of equivalent conditions are obtained for every ideal of a C-algebra to become an annihilator ideal. Some properties of homomorphic images and inverse images of annihilators ideals of a C-algebra are studied.

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IDEALS OF C-ALGEBRAS

Abstract: The notion of an ideal in a C -algebra is introduced and proved that the set of all ideals forms an algebraic distributive lattice under the set inclusion ordering.

Cited by 7 publications

References 2 publications

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

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

α -fuzzy ideals of C-algebra

On Annihilator Ideals of C-Algebras

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