Actions of soft groups

Oğuz, Gülay; Içen, İlhan; Gürsoy, Mustafa Habil

doi:10.31801/cfsuasmas.509926

Cited by 6 publications

(2 citation statements)

References 9 publications

(12 reference statements)

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“…Sezgin and Atagun [5] corrected problematic cases from Aktas and Cagman's previous work and introduced the concept of normalistic soft groups and homomorphisms of normalistic soft groups. Oguz et al [6] introduced the concept of soft action by combining soft set theory, presenting different types of soft actions and important characterizations. Murthy and Gouthami [7] introduced generalized soft groups, generalized soft (normal) subgroups, and generalized soft quotient groups, extending the corresponding notions of soft groups over groups.…”

Section: Introductionmentioning

confidence: 99%

On Complemented Soft Group (S-Group)

Elijah,

Muhammad,

Mohammed

et al. 2023

CaJoST

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In this study, we discuss the concept of complemented soft groups or S-groups in detail. We provide the definition of an S-group and a complemented S-group and investigate the properties of these groups. We also prove a theorem that characterizes the relationship between a complemented S-group and a normal subgroup of the group. Overall, this research aims to contribute to the development of the theory of complemented S-groups.

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Section: Introductionmentioning

confidence: 99%

On Complemented Soft Group (S-Group)

Elijah,

Muhammad,

Mohammed

et al. 2023

CaJoST

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“…In [5], Aktaş and Çagman improved the definitions of soft group and soft subgroup, and proved their new properties. Recently, Oguz et al studied the actions of soft groups and obtained some important properties [8]. In addition, other algebraic properties of soft sets were studied in [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Soft Topological Transformation Groups

Oğuz

2020

Mathematics

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The aim of the present study is to introduce the concept of soft topological transformation groups by examining the topological transformation groups, which are the core subject of algebraic topology under the soft approach. Actions of soft topological groups on soft topological spaces are studied, and the category of soft topological transformation groups is constructed. Also, a translation and conjugation of the soft topological groups are described. Finally, the definitions of soft orbit spaces and soft homogeneous spaces are given, and some of the properties of these concepts are examined in detail.

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Soft Topological Group from Classical View Point and Soft Borel Measure

Goldar¹,

Ray

2021

New Math. and Nat. Computation

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In this paper, we introduce the notion of the soft topological group as a general topological group of soft elements and study their properties. Some interesting results and relation between soft topological group and ordinary topological group of soft elements are studied. Also, soft Borel set and soft Borel measure have been depicted and the relationship between the soft Borel measure and the corresponding Borel measure has been drawn.

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Actions of soft groups

Cited by 6 publications

References 9 publications

On Complemented Soft Group (S-Group)

On Complemented Soft Group (S-Group)

Soft Topological Transformation Groups

Soft Topological Group from Classical View Point and Soft Borel Measure

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