On the structure of C-algebras through atomicity and if-then-else
| Autor: | Purandar Bhaduri, Gayatri Panicker, K. V. Krishna |
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| Rok vydání: | 2018 |
| Předmět: |
Condensed Matter::Quantum Gases
FOS: Computer and information sciences Atomicity Class (set theory) Pure mathematics Computer Science - Logic in Computer Science Algebra and Number Theory Structure (category theory) Mathematics - Logic Action (physics) Logic in Computer Science (cs.LO) ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Physics::Atomic and Molecular Clusters FOS: Mathematics Physics::Atomic Physics Connection (algebraic framework) Logic (math.LO) Mathematics |
| DOI: | 10.48550/arxiv.1804.00568 |
| Popis: | This paper investigates the notions of atoms and atomicity in C-algebras and obtains a characterisation of atoms in the C-algebra of transformations. In this connection, various characterisations for the existence of suprema of subsets of C-algebras are obtained. Further, this work presents some necessary conditions and some sufficient conditions for the atomicity of C-algebras and shows that the class of finite atomic C-algebras is precisely the class of finite adas. This paper also uses the intrinsic if-then-else action to study the structure of C-algebras and classify the elements of the C-algebra of transformations. |
| Databáze: | OpenAIRE |
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