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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: 2826; Downloads: 0
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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: 2802; Downloads: 0
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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: 2782; Downloads: 0
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The non-commuting graph of a non-central hypergroup
Mahdiyeh Iranmanesh, Morteza Jafarpour, Irina Elena Cristea, 2019, original scientific article

Keywords: (semi)hypergroup, Hamiltonian graph, planar graph
Published in RUNG: 20.09.2019; Views: 2937; Downloads: 0
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Corn silage fungal-based solid-state pretreatment for enhanced biogas production in anaerobic co-digestion with cow manure
Marina Tišma, Mirela Planinc, Ana Bucić Kojić, Mario Panjičko, Gregor Drago Zupančič, Bruno Zelić, 2018, original scientific article

Abstract: The objective of this research was to use white-rot fungus Trametes versicolor for corn silage pretreatment and to investigate the effect of pretreatment on biogas productivity. Semi-continuous pilot-scale experiment, comprised of two experimental phases, was carried out. In the first phase, operational conditions of the full-scale biogas plant were reproduced at pilot-scale. In that phase, the reactor was daily fed with the mixture of cow manure, digestate from industrial postfermentor, corn grits and ensiled corn silage, and the average methane generation rate was 0.167 m3 CH4 per kgVS. In the second phase, corn grits and ensiled corn silage were replaced with corn silage pretreated with T. versicolor, and the average methane generation rate increased up to 0.236 m3 per CH4 kgVS. The results of this study suggest that application of fungal-based solid-state pretreated corn silage has positive effect on pH stability and increase the biogas productivity.
Keywords: Semi-continuous anaerobic co-digestion Fungal-based pretreatment Corn silage Cow manure
Published in RUNG: 17.01.2018; Views: 3976; Downloads: 0
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On complementable semihypergroups
Hossien Aghabozorgi, Irina Elena Cristea, Morteza Jafarpour, 2016, original scientific article

Abstract: n this paper, we first introduce the notion of complementable semihypergroup, proving that the classes of simplifiable semigroups, groups, and complete hypergroups are examples of complementable semihypergroups. Then we define when two semihypergroups are disjoint and find examples of such semihypergroups. Finally, we discuss on the complementable property of $K_H$-hypergroups.
Keywords: (semi)hypergroup, complementable semihypergroup, disjoint semihypergroup, $K_H$-hypergroup
Published in RUNG: 03.03.2016; Views: 4262; Downloads: 1
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