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The Homomorphisms and Operations of Rough Groups [PDF]

The Scientific World Journal, 2014
Based on the light relation between a normal subgroup and a complete congruence relation of a group, we consider the homomorphism problem of rough groups and rough quotient groups and investigate their operational properties.
Fei Li, Zhenliang Zhang
doaj   +5 more sources

Rough representations of rough topological groups

Applied General Topology, 2023
In this paper, the concept of rough representation of a rough topological group on a Banach space is explored. Mainly, the continuity and the irreducibility of rough representations are studied.
Essoyomewè Kieou, Mawoussi Todjro, Yaogan Mensah   +2 more
doaj   +3 more sources

Rough U-Exact Sequence of Rough Groups

Al-Jabar, 2022
The notion of a U-exact sequence is a generalization of the exact sequence. In this paper, we introduce a rough U-exact sequence in a rough group in an approximation space.
Fitri Ayuni, Fitriani Fitriani, Ahmad Faisol   +2 more
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Rough action on topological rough groups

Applied General Topology, 2020
In this paper we explore the interrelations between rough set theory and group theory. To this end, we first define a topological rough group homomorphism and its kernel.
Alaa Altassan, Nof Alharbi, Hassen Aydi, Cenap Özel   +3 more
doaj   +5 more sources

Rough soft sets and rough soft groups [PDF]

Journal of Hyperstructures, 2013
In this paper we discuss some basic properties of rough soft sets and hence we introduce the notion of rough soft group. Basic properties of rough soft group are presented and supported by some illustrative examples.
Jayanta Ghosh, T. K. Samanta
doaj   +2 more sources

Topological Rough Groups

Topological Algebra and its Applications, 2016
The concept of topological group is a simple combination of the concepts of abstract group and topological space. The purpose of this paper is to combine the concepts of topological space and rough groups; called topological rough groups on an ...
Bağırmaz Nurettin, İçen İlhan, Özcan Abdullah F.   +2 more
doaj   +2 more sources

THE PROPERTIES OF ROUGH V-COEXACT SEQUENCE IN ROUGH GROUP

Barekeng, 2022
In ring and module theory, the concept of an exact sequence is commonly employed. The exact sequence is generalized into the U-exact sequence and the V-coexact sequence.
Desfan Hafifullah, Fitriani Fitriani, Ahmad Faisol   +2 more
doaj   +2 more sources

Sub-exact sequence of rough groups

Al-Jabar, 2021
Rough Set Theory (RST) is an essential mathematical tool to deal with imprecise, inconsistent, incomplete information and knowledge Rough Some algebra structures, such as groups, rings, and modules, have been presented on rough set theory.
Nevi Setyaningsih, Fitriani Fitriani, Ahmad Faisol   +2 more
doaj   +3 more sources

Effects of balance training on different surfaces on ankle proprioception and functional balance in children with spastic cerebral palsy: a single-blind randomized controlled trial [PDF]

BMC Pediatrics
Background Balance training on different surfaces is important in the rehabilitation of children with spastic cerebral palsy. However, the impact of balance training on different surfaces on ankle proprioception has not yet been investigated.
Sabiha Bezgin, Kamile Uzun Akkaya, İlkan Çiçek, Yılmaz Akbaş, Bülent Elbasan   +4 more
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Evaluation of surface roughness of titanium disks subjected to simulated oral conditions [PDF]

BMC Oral Health
Purpose To investigate the impact of common dental hygiene practices, including brushing with fluoridated toothpaste, on titanium implant surfaces with varying degrees of roughness, both in the presence and absence of citric acid.
Rana K. Alkattan, Sami A. Almohefer, Hatem D. Alshammari, Fahad A. Bakitian, Ghadah D. Aldakhayel, Ahmed A. Madfa   +5 more
doaj   +2 more sources