Topology on CL-algebras

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Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer science and business media deutschland GmbH

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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.

Açıklama

Anahtar Kelimeler

CL-Algebra, KL-Algebra, L-Algebra, Semi-Topological Algebra, Topology

Kaynak

Soft computing

WoS Q Değeri

Scopus Q Değeri

Q1

Cilt

28

Sayı

13-14

Künye

Khajeh Nasir, H., Aaly Kologani, M., & Borzooei, R. A. (2024). Topology on CL-algebras. Soft Computing, 28(13), 7617-7625.