Approximately rings in proximal relator spaces

İnan, Ebubekir

doi:10.3906/mat-1907-3

Cited by 3 publications

(2 citation statements)

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“…In 2017 and 2018, approximately semigroups, approximately ideals, approximately groups, approximately subgroups and approximately rings were introduced by İnan [5][6][7][8]. Approximately Γ-semigroups and approximately Γ-rings were also defined [9,14].…”

Section: Introductionmentioning

confidence: 99%

Semitopological $\delta$-groups

İnan

Uçkun

2023

Hacettepe Journal of Mathematics and Statistics

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The aim of this paper is to introduce semitopological $\delta$-group and topological $\delta$-group with the concept of $\delta$-group which arise from approximately algebraic structures. Furthermore, it is shown that product space determined with $\delta$-topological subspaces is a $\delta$-topological space. Fundamental system of open $\delta$-neighborhoods and related properties were investigated.

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Section: Introductionmentioning

confidence: 99%

Semitopological $\delta$-groups

İnan

Uçkun

2023

Hacettepe Journal of Mathematics and Statistics

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“…The aim of this work is to obtain algebraic structures in proximal relator spaces using descriptively upper approximations of the subsets of X. In 2017 and 2018, approximately semigroups and approximately ideals, approximately groups, approximately subgroups and approximately rings were introduced by İnan [4]- [7]. Approximately Γ-semigroups were also defined [8].…”

Section: Introductionmentioning

confidence: 99%

Approximately Near Rings in Proximal Relator Spaces

İnan

KOCAMAZ

2022

Fundamental Journal of Mathematics and Applications

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The motivation of this article is to define approximately near rings, some types of approximately near rings, approximately $N$-groups, approximately ideals and approximately near rings of all descriptive approximately cosets. Moreover, some properties of these approximately algebraic structures are given. Furthermore, approximately near ring homomorphisms are introduced and their some properties are investigated.

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