Topology on CL-algebras

In this paper, by considering the notion of L -algebras and CL -algebras, we construct a topology on a bounded CL -algebra. Then, we investigate some of its topological properties, such as Hausdorff space, T 0 -space and T 1 -space and connectedness. Moreover, we express the relation between closed...

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Published inSoft computing (Berlin, Germany) Vol. 28; no. 13-14; pp. 7617 - 7625
Main Authors Khajeh Nasir, H., Aaly Kologani, M., Borzooei, R. A.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2024
Springer Nature B.V
Subjects
Algebra
Algebraic
Analytical Methods in Soft Computing
Artificial Intelligence
Computational Intelligence
Control
Engineering
Foundation
Mathematical Logic and Foundations
Mathematics
Mechatronics
Robotics
Set theory
Topology
Semi-topological algebra
algebra
Topology
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Abstract In this paper, by considering the notion of L -algebras and CL -algebras, we construct a topology on a bounded CL -algebra. Then, we investigate some of its topological properties, such as Hausdorff space, T 0 -space and T 1 -space and connectedness. Moreover, we express the relation between closed and compact sets in this topology. Finally, by considering the notion of semi-topological algebra, we prove that any commutative bounded CL -algebra is a right semi-topological algebra.
AbstractList In this paper, by considering the notion of L -algebras and CL -algebras, we construct a topology on a bounded CL -algebra. Then, we investigate some of its topological properties, such as Hausdorff space, T 0 -space and T 1 -space and connectedness. Moreover, we express the relation between closed and compact sets in this topology. Finally, by considering the notion of semi-topological algebra, we prove that any commutative bounded CL -algebra is a right semi-topological algebra.
In this paper, by considering the notion of L-algebras and CL-algebras, we construct a topology on a bounded CL-algebra. Then, we investigate some of its topological properties, such as Hausdorff space, T0-space and T1-space and connectedness. Moreover, we express the relation between closed and compact sets in this topology. Finally, by considering the notion of semi-topological algebra, we prove that any commutative bounded CL-algebra is a right semi-topological algebra.
Author Borzooei, R. A.
Khajeh Nasir, H.
Aaly Kologani, M.
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Cites_doi 10.1007/s00012-012-0172-5
10.1007/s00500-020-05242-7
10.52547/cgasa.2023.103121
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10.1016/j.jalgebra.2008.05.033
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Snippet In this paper, by considering the notion of L -algebras and CL -algebras, we construct a topology on a bounded CL -algebra. Then, we investigate some of its...
In this paper, by considering the notion of L-algebras and CL-algebras, we construct a topology on a bounded CL-algebra. Then, we investigate some of its...
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SubjectTerms Algebra
Algebraic
Analytical Methods in Soft Computing
Artificial Intelligence
Computational Intelligence
Control
Engineering
Foundation
Mathematical Logic and Foundations
Mathematics
Mechatronics
Robotics
Set theory
Topology
Title Topology on CL-algebras
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