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11.
Fuzzy reducibility in hypergroups
Milica Kankaraš, Irina Elena Cristea, 2019, published scientific conference contribution abstract

Keywords: hypergroup, fuzzy set, reduced hypergroup
Published in RUNG: 23.06.2020; Views: 2504; Downloads: 0
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12.
Some open problems in hypercompositional algebra
Irina Elena Cristea, 2020, published scientific conference contribution abstract (invited lecture)

Keywords: hypergroup, hyperring, hyperfield, hypermodule, dependence relation, fundamental realtion, fuzzy reducibility
Published in RUNG: 23.06.2020; Views: 2725; Downloads: 0
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13.
Homomorphic Image and Inverse Image of Weak Closure Operations on Ideals of BCK-Algebras
Hashem Bordbar, 2020, original scientific article

Keywords: zeromeet element, meet ideal, relative annihilator, semi-prime map, meet map, (semi-prime, meet) weak closure operation
Published in RUNG: 21.04.2020; Views: 2684; Downloads: 0
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14.
Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
2020, scientific monograph

Keywords: symmetry, hypergroup, hyperring, hyperfield, fundamental relation, rough set, fuzzy set, multiset, soft set, hyperhomography, BCK-algebra, multiautomatom, artificial neuron, hypergraph
Published in RUNG: 27.03.2020; Views: 2609; Downloads: 0
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15.
Primeness of Relative Annihilators in BCK-Algebra
Hashem Bordbar, 2020, original scientific article

Abstract: Conditions that are necessary for the relative annihilator in lower BCK-semilattices to be a prime ideal are discussed. Given the minimal prime decomposition of an ideal A, a condition for any prime ideal to be one of the minimal prime factors of A is provided. Homomorphic image and pre-image of the minimal prime decomposition of an ideal are considered. Using a semi-prime closure operation “cl”, we show that every minimal prime factor of a cl-closed ideal A is also cl-closed.
Keywords: lower BCK-semilattice, relative annihilator, semi-prime closure operation, minimal prime decomposition, minimal prime factor
Published in RUNG: 24.02.2020; Views: 2747; Downloads: 0
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16.
Vati, Kedumetse; Székelyhidi, László, Moment functions on hypergroup joins. Adv. Pure Appl. Math. 10 (2019), no. 3, 215–220.
Irina Elena Cristea, 2019, review, book review, critique

Keywords: hypergroup, continuous function, moment function of order k
Published in RUNG: 20.12.2019; Views: 3071; Downloads: 0
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17.
Al Tahan, M.; Davvaz, B. , On Corsini hypergroups and their productional hypergroups. (Englishsummary)
Irina Elena Cristea, 2019, review, book review, critique

Keywords: hypergroup, productional hypergroup, order
Published in RUNG: 18.12.2019; Views: 2479; Downloads: 0
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18.
Semi-prime and meet weak closure operations in lower BCK-semilattices
Hashem Bordbar, Mohammad Mehdi Zahedi, 2017, original scientific article

Abstract: The notion of semi-prime (resp., meet) weak closure operation is introduced and related properties are investigated. Characterizations of a semi-prime (resp. meet) closure operation are discussed. Examples show that the notion of semi-prime weak closure operation is independent of the notion of meeting weak closure operation.
Keywords: non-zeromeet element, meet ideal, relative annihilator, semi-prime (resp., meet) weak closure operation.
Published in RUNG: 02.12.2019; Views: 2720; Downloads: 0
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19.
SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRA
Hashem Bordbar, 2015, original scientific article

Abstract: 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.
Keywords: BCI-algebra, BCK-algebra, closure operation, finite type closure operation, semi-prime closure operation.
Published in RUNG: 01.12.2019; Views: 2707; Downloads: 0
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20.
Hyperhomographies on Krasner Hyperfields
Vahid Vahidi, Morteza Jafarpour, Irina Elena Cristea, 2019, original scientific article

Keywords: hypergroup, hyperring, hyperfield, (hyper)homography
Published in RUNG: 25.11.2019; Views: 2830; Downloads: 94
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