Browsing by Author "Ozbal, Sule Ayar"

Now showing 1 - 7 of 7

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.
Citation - WoS: 1
DERIVATIONS ON HYPERLATTICES
(YILDIZ TECHNICAL UNIV, 2018) Sule Ayar Ozbal; Alev Firat; Ozbal, Sule Ayar; Firat, Alev
In this paper we introduced the notion of derivations on hyperlattices and investigated some related properties. Also we characterized the Fix(d) (L) by derivations.
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.
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.
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.
ON SYMMETRIC BI-DERIVATIONS OF B-ALGEBRAS
(KOREAN MATHEMATICAL SOC, 2016) Sibel Altunbicak Kayis; Sule Ayar Ozbal; Ozbal, Sule Ayar; Kayis, Sibel Altunbicak
In this paper we introduce the notion of symmetric bi-deriv ations 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.
Citation - WoS: 6
Citation - Scopus: 8
Symmetric f bi-derivations of lattices
(Charles Babbage Research Centre, 2010) Şule Ayar Özbal; Alev Firat; Ozbal, Sule Ayar; Firat, Alev
In this paper we introduced the notion of symmetric f bi-derivations on lattices and investigated some related properties. We characterized the distributive lattice by symmetric f blderivations. © 2023 Elsevier B.V. All rights reserved.