Ayar Özbal, Şule

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Profile URL
https://gcris.yasar.edu.tr/handle/123456789/11908
Name Variants
Şule Ayar Özbal
Job Title
Doç.Dr.
Email Address
Main Affiliation
01.01.02.02. Matematik Bölümü
Status
Current Staff
Website
ORCID ID
0000-0001-5933-5858
Scopus Author ID
36598940800
Turkish CoHE Profile ID
Google Scholar ID
9WijE_YAAAAJ
WoS Researcher ID
ABA-3795-2021
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sule.ayar.ozbal.jpg (9.13 KB)

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Documents

6

Citations

9

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Scholarly Output

14

Articles

14

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0/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

8

Scopus Citation Count

14

Patents

0

Projects

0

WoS Citations per Publication

0.57

Scopus Citations per Publication

1.00

Open Access Source

6

Supervised Theses

0

JournalCount
Symmetry2
Ars Combinatoria2
Communications of the Korean Mathematical Society2
Adıyaman University Journal of Science2
Soft Computing1
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Now showing 1 - 10 of 14
  • Thumbnail Image
    Article
    On generalized derivations of incline algebras
    (Hacettepe University, 2014) Şule Ayar Özbal; Alev Firat
    In this paper as a generalization of derivation of an incline algebra the notion of generalized derivation in an incline algebra is introduced and some of its properties are investigated in an incline and integral incline algebra. © 2020 Elsevier B.V. All rights reserved.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On f-derivations of B-algebras
    (Charles Babbage Research Centre, 2011) Alev Firat; Şule Ayar Özbal; Özbal, Şule Ayar; Firat, Alev
    In this paper we introduced the notion of left-right and right-left f-derivations of a B-algebra and investigated some related properties. We studied the notion of f-derivation of a O-commutative B-algebra and stated some related properties. © 2023 Elsevier B.V. All rights reserved.
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    Article
    Citation - Scopus: 1
    On Filters of Bitonic Algebras
    (MDPI, 2022) Sule Ayar Ozbal; Ozbal, Sule Ayar; Ayar Özbal, Şule
    With the deep study in this work we introduce the concept of filters of a bitonic algebra A. We study some fundamental structures of such determined filters. We also focus on features of filters with respect to homomorphisms. With the help of the idea of upper sets we investigate basic ideas of filters in a bitonic algebra and we also state some important theorems related to them. We obtain some relations between filters of bitonic algebras and upper sets. We obtain an equivalent condition of the filters with the help of the notion of upper sets.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 4
    ON DERIVATIONS AND GENERALIZED DERIVATIONS OF BITONIC ALGEBRAS
    (UNIV BELGRADE FAC ELECTRICAL ENGINEERING, 2018) Yong Ho Yon; Sule Ayar Ozbal; Ozbal, Sule Ayar; Yon, Yong Ho
    We introduce the notion of bitonic algebras as a generalization of dual BCC-algebras and define the notion of (rl)-derivations (lr) -derivations and generalized (rl) and (lr)-derivations on the bitonic algebras. Then we study the properties of the derivations and the generalized derivations on the bitonic algebras and the commutative bitonic algebras. Finally we show that every generalized derivation of commutative bitonic algebras is a derivation.
  • Thumbnail Image
    Article
    On Filters of Bitonic Algebras
    (MDPI, 2022) Şule Ayar Özbal
    With the deep study in this work we introduce the concept of filters of a bitonic algebra A. We study some fundamental structures of such determined filters. We also focus on features of filters with respect to homomorphisms. With the help of the idea of upper sets we investigate basic ideas of filters in a bitonic algebra and we also state some important theorems related to them. We obtain some relations between filters of bitonic algebras and upper sets. We obtain an equivalent condition of the filters with the help of the notion of upper sets. © 2022 Elsevier B.V. All rights reserved.
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    Article
    ALGORITHMIC APPROACH TO BITONIC ALGEBRAS AND THEIR GRAPHS
    (Bayram Sahin, 2024) Şule Ayar Özbal; Refet Polat; Saadet Eskiizmirliler; Mehmet Kurt; Kurt, Mehmet; Polat, Refet; Ozbal, Sule Ayar; Eskiizmirliler, Saadet
    Under the aim of this paper we establish the terms of graphs related with bitonic-algebras which is a bitonic-graph where the vertices are the elements of bitonic algebra and where the edges are the companian of two vertices that is two elements from bitonic algebra. We designate the upper sets of elements in a bitonic algebra and studied properties of these sets. We state algorithms to check whether the given set is a bitonic algebra or a commutative bitonic algebra or not. Additionally we mention the codes of these algorithms. Moreover we associate the algorithms of graphs of a bitonic algebra and state properties of these graphs obtained. © 2024 Elsevier B.V. All rights reserved.
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    Article
    On symmetric bi-derivations of B-algebras
    (Korean Mathematical Society kms@kms.or.kr, 2016) Síbel Altunbiçak Kayiş; Şule Ayar Özbal
    In this paper we introduce the notion of symmetric bi-derivations of a B-algebra and investigate some related properties. We study the notion of symmetric bi-derivations of a 0-commutative B-algebra and state some related properties. © 2016 Elsevier B.V. All rights reserved.
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    Article
    On generalized derivations of incline algebras
    (Hacettepe Univ, FAC Sci, 2014) ŞULE AYAR ÖZBAL; Alev FİRAT; Ozbal, Sule Ayar; Firat, Alev
    In this paper as a generalization of derivation of an incline algebra thenotion of generalized derivation in an incline algebra is introduced andsome of its properties are investigated in an incline and integral inclinealgebra.
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    Article
    On join-complete implication algebras
    (Springer Science and Business Media Deutschland GmbH, 2024) Yong-ho Yon; Şule Ayar Özbal; Özbal, Şule Ayar; Yon, Yong Ho
    In this paper first we consider an algebra that has a binary operation and a join of arbitrary nonempty subset. A lattice implication algebra is a lattice with a binary operation which has a join and a meet of finite nonempty subsets. In this work the notion of join-complete implication algebras L is defined as a join-complete lattice with a binary operation and some properties of this algebra L are searched. Moreover we prove that the interval [a 1] in L is a lattice implication algebra and show that L satisfies the completely distributive law when it has the smallest element 0. Finally we state the concept of filter and multipliers of L and provide finite and infinite examples of them. In addition we research some properties of these concepts in detail. © 2024 Elsevier B.V. All rights reserved.
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    Article
    Bitonic Cebirlerin Direkt Çarpımları
    (Adiyaman University, 2022) Şule Ayar ÖZBAL; Özbal, Şule Ayar; Ayar Özbal, Şule
    Bu çalışmanın amacı bitonic cebirlerin direkt çarpımları olup bitonic cebirlerin direkt çarpımlarının ilgili özelliklerini çalışmaktır. Ayrıca değişmeli bitonic cebirlerinin direkt çarpımları bitonic homomorfizmalar incelenmiş ve değişmeli bitonic cebirlerin direkt çarpımlarının da değişmeli olduğu elde edilmiş ve direkt çarpımların homomorfizmaları da çalışılmıştır.