1. Sheffer stroke Hilbert algebras stabilizing by idealsTugce Katican, Hashem Bordbar, 2024, izvirni znanstveni članek Opis: This manuscript aims to provide a new characterization of Sheffer stroke Hilbert algebras due to their ideals and proposes stabilizers. In the setup of the main results, we construct particular subsets of Sheffer stroke Hilbert algebras and we propose important properties of these subsets by investigating whether these sets are ideals or not. Furthermore, we investigate whether the introduced subsets of Sheffer stroke Hilbert algebras are minimal ideals. Afterward, we define stabilizers in a Sheffer stroke Hilbert algebra and obtain their set theoretical properties. As an implementation of the theoretical findings, we present numerous examples and illustrative remarks to guide readers.
Ključne besede: Hilbert algebra, Sheffer operation, ideal, stabilizer
Objavljeno v RUNG: 31.01.2024; Ogledov: 337; Prenosov: 4
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2. Operations of the Pierre Auger ObservatoryR. Caruso, Andrej Filipčič, Jon Paul Lundquist, Samo Stanič, Serguei Vorobiov, Danilo Zavrtanik, Marko Zavrtanik, Lukas Zehrer, 2022, objavljeni znanstveni prispevek na konferenci Opis: The construction of the first stage of the Pierre Auger Observatory, designed for research of ultra-high energy cosmic rays, began in 2001 with a prototype system. The Observatory has been collecting data since early 2004 and was completed in 2008. The Observatory is situated at 1400 m above sea level near Malargüe, (Mendoza province) in western Argentina, covering a vast plain of 3000 squared km, known as the Pampa Amarillo. The Observatory consists of a hybrid detector, in which there are 1660 water-Cherenkov stations, forming the Surface Detector (SD) and 27 peripheral atmospheric fluorescence telescopes, comprising the Fluorescence Detector (FD). Over time, the Auger Observatory has been enhanced with different R&D prototypes and is recently being to an important upgrade called AugerPrime. In the present contribution, the general operations of the SD and FD will be described. In particular the FD shift procedure - executable locally in Malargüe or remotely by teams in control rooms abroad within the Collaboration - and the newly SD shifts (operating since 2019) will be explained. Additionally, the SD and FD maintenance campaigns, as well as the data taking and data handling at a basic level, will be reported
Ključne besede: Pierre Auger Observatory, AugerPrime, indirect detection, fluorescence detectors, surface detectors, ultra-high energy, cosmic rays, detector operation
Objavljeno v RUNG: 04.10.2023; Ogledov: 734; Prenosov: 4
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5. WEAK CLOSURE OPERATIONS WITH SPECIAL TYPES IN LOWER BCK-SEMILATTICESHashem Bordbar, Young Bae Jun, 2017, izvirni znanstveni članek Opis: The notions of (strong) quasi prime mapping on the set of all ideals, t- type weak closure operation, and tender (resp., naive, sheer, feeble tender) weak closure operation are introduced, and their relations and properties are investigated. Conditions for a weak closure operation to be of t-type are provided. Given a weak closure operation, conditions for the new weak closure operation to be of t-type and to be a naive (sheer, feeble tender) weak closure operation are considered. We show that the new weak closure operation is the smallest tender weak closure operation containing the given weak closure operation.
Ključne besede: (strong) quasi prime mapping, t-type weak closure operation, naive (sheer, tender, feeble tender) weak closure operation.
Objavljeno v RUNG: 02.12.2019; Ogledov: 2852; Prenosov: 0
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7. Tender and naive weak closure operations on lower BCK-semilattices.Hashem Bordbar, 2018, izvirni znanstveni članek Opis: The notion of tender and naive weak closure operation is introduced, and their relations and properties are investigated. Using a weak closure operation "d" and an ideal A of a lower BCK-semilattice X with the greatest element 1, a new ideal K of X containing the ideal Acl of X is established. Using this ideal K, a new function clt : I(X) → I(X); A → K is given, and related properties are considered. We show that if "cl" is a tender (resp., naive) weak closure operation on I(X), then so are "clt" and clf.
Ključne besede: zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
Objavljeno v RUNG: 02.12.2019; Ogledov: 2754; Prenosov: 0
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8. Weak closure operations on ideals of BCK-algebrasHashem Bordbar, 2017, izvirni znanstveni članek Opis: Weak closure operation, which is more general form than closure operation, on ideals of BCK- algebras is introduced, and related properties are investigated. Regarding weak closure operation, finite type and (strong) quasi-primeness are considered. Also positive implicative (resp., commutative and implicative) weak closure operations are discussed.
Ključne besede: weak closure operation of finite type, (quasi-prime, positive implicative, commutative, implica- tive) weak closure operation.
Objavljeno v RUNG: 01.12.2019; Ogledov: 3061; Prenosov: 0
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9. SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRAHashem Bordbar, 2015, izvirni znanstveni članek Opis: In this paper we study the (good) semi-prime closure oper- ations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations. Moreover, by giving some examples, we show that the given different notions are independent together, for instance, there is a semi-prime closure operation, which is not a good semi-prime. Finally by given the notion of “cf-Max X”, we prove that every member of “cf-Max X” is a prime ideal. Also, we conclude some more related results.
Ključne besede: BCI-algebra, BCK-algebra, closure operation, finite type closure operation, semi-prime closure operation.
Objavljeno v RUNG: 01.12.2019; Ogledov: 2689; Prenosov: 0
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10. A Finite type Closure Operations on BCK-algebrasHashem Bordbar, 2016, izvirni znanstveni članek Opis: In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the intersection and union (by imposing some additional conditions) of closure operations is a closure operation and every closure operation is a finite type on any finitely generated ideal. Moreover by given the notions of residuated quotient ideals and the meet of two ideals, we conclude some related results.
Ključne besede: BCI-algebra, BCK-algebra, closure operation, finite type closure operation.
Objavljeno v RUNG: 01.12.2019; Ogledov: 2716; Prenosov: 0
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