Hatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60004120230501Positive implicative BE-filters of BE-algebras based on Lukasiewicz fuzzy sets11117031110.52547/HATEF.JAHLA.4.1.1ENY.B.JunDepartment of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea0000-0002-0181-8969Journal Article20230425Lukasiewicz fuzzy set is applied to positive implicative filter of BE-algebra. The notion of positive implicative Lukasiewicz<br />fuzzy BE-filters is introduced, and its properties are investigated. The relationship between fuzzy positive implicative BE-filter and positive implicative Lukasiewicz fuzzy BE-filter is discussed, and conditions under which Lukasiewicz fuzzy BE-filter can be positive implicative Lukasiewicz fuzzy BE-filter are explored. Characterizations of positive implicative Lukasiewicz fuzzy BE-filter are provided. Conditions for Lukasiewicz fuzzy set to be positive implicative Lukasiewicz fuzzy BE-filter are considered. Conditions are found where E-set, q-set, and O-set of the Lukasiewicz fuzzy set can be positive implicative BE-filter. https://jahla.hatef.ac.ir/article_170311_c15f0995fd428ce2ab5693b41b8eb790.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60004120230501Interval valued (α, β)-fuzzy hyperideals in Krasner (m, n)-hyperrings132517031010.52547/HATEF.JAHLA.4.1.2ENM.AnbarloeiImam Khomeini International UniversityJournal Article20230425In this paper, the notion of quasicoincidence of a fuzzy interval valued with an interval valued fuzzy set, which generalizes the concept of quasicoincidence of a fuzzy point in a fuzzy set is concentrated. Based on the idea, we study the concept of interval valued (α, β)-fuzzy hyperideals in Krasner (m, n)-hyperrings. In particular, some fundamental aspects of interval valued (E, EVq)-fuzzy hyperideals will be considered. Moreover, we examine the notion of implication-based interval valued fuzzy hyperideals in a Krasner (m, n)-hyperring. https://jahla.hatef.ac.ir/article_170310_769f604e9164fe3a135153209cf619e3.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60004120230501Relations between L-algebras and other logical algebras274616694810.52547/HATEF.JAHLA.4.1.3ENM.Aaly KologaniHatef Higher Education Institute, Zahedan, IranJournal Article20230218In this paper, by considering the notion of L-algebra, we show that there are relations between L-algebras and some of other logical algebras such as residuated lattices, MTL-algebras, BL-algebras, MV-algebras, BCK-algebras, equality algebras, EQ-algebras and Hilbert algebras. The aim of this paper is to find under what conditions L-algebras are equivalent to these logical algebras.https://jahla.hatef.ac.ir/article_166948_82ed2a72c161bb88bae45fbd170ef054.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60004120230501Block code on L-algebras476017047110.52547/HATEF.JAHLA.4.1.4ENM.Mohseni TakalloDepartment of Mathematics, Shahid Beheshti University, Tehran, Iran0000-0002-4113-3657Journal Article20230428By using the notion of L-algebras as an important part of the ordered algebra, we introduce the notions of block code, x-function and x-subsets on an arbitrary L-algebra. Then some related properties and examples are provided. Also, by using these notions, we define an equivalence relation on L-algebra and we introduce a new order on the generated code based on L-algebras. Finally, we will provide a method which allows us to find an L-algebra starting from a given arbitrary binary block code. https://jahla.hatef.ac.ir/article_170471_5567965bd15c049781c4956e7ec055e5.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60004120230501Zipped coherent quantales617917199710.52547/HATEF.JAHLA.4.1.5ENG.GeorgescuUniversity of BucharestJournal Article20230531The aim of this paper is to define an abstract quantale framework for extending some properties of the zip rings (studied by Faith, Zelmanowitz, etc.) and the weak zip rings (defined by Ouyang). By taking as prototype the quantale of ideals of a zip ring (resp. a weak zip ring) we introduce the notion of zipped quantale (resp. weakly zipped quantale). The zipped quantales also generalize the zipped frames, defined by Dube and Blose in a recent paper. We define the zip (bounded distributive) lattices and we prove that a coherent quantale A is weakly zipped iff the reticulation L(A) of A is a zip lattice. From this result we obtain the following corollary: the coherent quantale A is weakly zipped iff the frame R(A) of the radical elements of A is zipped. Such theorems allow us to extend to quantale framework a lot of results obtained by Dube and Blose for the zipped frames and for the weak zip rings. https://jahla.hatef.ac.ir/article_171997_3195e3c85e7cade14a71e5a152d457ef.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60004120230501Some applications of maximal product in RL-graphs819517228410.52547/HATEF.JAHLA.4.1.6ENE.Raisi SarbizhanDepartment of Mathematics, Kerman Graduate University of Advanced Technology, Kerman, IranJournal Article20230608This research targets the investigation of characteristics within the maximal product of two RL-graphs by scrutinizing particular types of RL-graphs. Our first step in this quest entails introducing RL-graph concepts, followed by defining what constitutes a strong RL-graph, further elucidated by a practical example. Subsequently, we lay out the connection between RL-graphs and their maximal products. In particular, a theorem establishes that two RL-graphs are regular if their maximal product maintains regularity, and a parallel rule applies to α-regular RL-graphs. Contrarily, the reverse is not inherently true, a claim supported by a specific example. Nonetheless, by incorporating an additional condition, we validate the converse. Lastly, we assert that two RL-graphs are connected only if their maximal product is also a connected RL-graph. In conclusion, the maximal product of two RL-graphs holds potential in modeling societal health metrics and road accident rates. https://jahla.hatef.ac.ir/article_172284_b4ff7c19a76e50b2968671f5e0151d2d.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60004120230501Mathematical Model for some Chemical Redox Reactions97105177214ENS.AbdizadehDepartment of Mathematics, Faculty of Science, University of Hormozgan,
Bandar Abbas, IranS.Ostadhadi-DehkordiDepartment of Mathematics, University of Hormozgan, Bandar Abbas, Iran.H.AghabozorgiDepartment of Mathematics, Vali-e-Asr University of Rafsanjan,
Rafsanjan, IranJournal Article20230512Algebraic hyperstructures have many applications in various sciences. The main purpose of this paper is to provide a new application of weak hyperstructures in Chemistry. The Motivation for the study of hyperstructures comes from chemical reactions. By hyperstructures theory, we provide mathematical models for chemical reactions. We study chemical hyperstructures of standard reduction potentials for consecutive oxidation states of elements of <em>Cm; Er; Pm; Mg; Tm; Au</em> and <em>Cf</em>.https://jahla.hatef.ac.ir/article_177214_335297e1ba2763234622d9dcc44f842d.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60004120230815Some results on graded prime and primary hyperideals107120177303ENP.GhiasvandDepartment of Mathematics, Payame Noor University, Tehran, IranJournal Article20230725Let <em>G</em> be a group with identity <em>e</em> and R be a multiplicative hyperring. We introduce the concept of <em>G</em>-graded multiplicative hyperring <em>R</em> and present some new results and examples. This article aim is to introduce and study graded prime and graded primary hyperideals which are different generalizations of prime and primary hyperideals. Several basic properties, examples and characterizations of graded prime (graded primary) hyperideals of a graded multiplicative hyperring <em>R</em> are presented such as investigating of this structure under homogeneous components, graded hyperring homomorphisms, quotient graded hyperrings and fundamental relations. https://jahla.hatef.ac.ir/article_177303_312721689c4abcc4b9c1274e5860c673.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60004120230815Hausdorff (quasi)topological MV-algebras121135177299ENM.NajafiDepartment of Mathematics, Velayat University, Iranshahr, Iran0000-0002-7099-1976Journal Article20230519In this paper, the relations between separation axioms and (quasi)topological MV-algebras are studied. It is proved that T<sub>0</sub>-spaces and (T<sub>1</sub>) Hausdorff spaces are equivalent in (quasi) topological MV-algebras. Also, some topologies on MV-algebras are generated by ideals, filters and prefilters. It is shown that the MV-algebras equipped with these topologies are (para)topological MV-algebras and (T<sub>0</sub>) normal spaces. In addition, some conditions are derived for locally compact Hausdorff MV-algebras to make them into normal paratopological MV-algebras. Finally, quotient MV-algebras are studied to get a Hausdorff topological quotient MV-algebra. https://jahla.hatef.ac.ir/article_177299_a5b74ed41d666736f6d1cd78f6ec8948.pdf