Results 1 to 10 of about 92 (87)
Study hoop algebras by fuzzy (n-fold) obstinate filters
Topological Algebra and its Applications, 2023 In this article, we introduce the concept of fuzzy (n-fold) obstinate filter on hoop algebras and study some of the properties. We define and study fuzzy prime filter and fuzzy n-fold implicative filter on hoop algebras.
Namdar Ameneh, Saeid Arsham Borumand
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Some Unitary Operators on Hoop-algebras
Fuzzy Information and Engineering, 2017 In this paper, we introduce the notions of multiplier, ⊙-closure operator and modal operator on hoop-algebras. After that, we investigate some algebraic properties of multiplier, ⊙-closure operator and modal operator on hoop-algebras.
R. Tayebi Khorami, A. Borumand Saeid
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Studying the Theory of Hoops Through Some Type of Filters
Journal of Applied MathematicsIt is known that the class of hoops is ideally determined, in the sense that every filter of any hoop H is a 1-class of a unique congruence relation on H. This confirms that every filter in a hoop determines one and only one quotient structure. So, given
Gezahagne Mulat Addis +1 more
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Mathematics, 2019 In this paper, we investigate the graph structures on hoop algebras. First, by using the quasi-filters and r-prime (one-prime) filters, we construct an implicative graph and show that it is connected and under which conditions it is a star or tree.
Mona Aaly Kologani +2 more
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Some Properties of Hyper Ideals in Hyper Hoop-Algebras
Journal of Applied MathematicsIn this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and ...
Wondwosen Zemene Norahun +2 more
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On ideal theory of hoops [PDF]
Mathematica Bohemica, 2020 In this paper, we define and characterize the notions of (implicative, maximal, prime) ideals in hoops. Then we investigate the relation between them and prove that every maximal implicative ideal of a $\vee$-hoop with double negation property is a prime
Mona Aaly Kologani, Rajab Ali Borzooei
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Bulletin of the Section of Logic, 2021 The notions of (implicative) soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed.
Rajab Ali Borzooei +3 more
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Regular and Boolean elements in hoops and constructing Boolean algebras using regular filters
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 We study hoops in order to give some new characterizations for regular and Boolean elements in hoops and we study the relationship between them. Specially, we prove that any bounded v-hoop is a Stone algebra if and only if MV -center set and Boolean ...
Aaly Kologani M. +2 more
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Fuzzy Ideals in Pseudo-Hoop Algebras
International Journal of Mathematics and Mathematical Sciences, 2022 In this study, fuzzy ideals in pseudo-hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo-hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo-hoop algebras and identify and
Teferi Getachew Alemayehu
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Reaching Kinesthetic Learners Over Distance
Studies in Applied Linguistics & TESOL, 2021 Erickson, a New York City high school student, and I were working on his algebra homework over Zoom, specifically parabolas. We broke down the motion of a basketball and compared it to a parabola.
Katherine M. Gorbenko
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