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Local and perfect semihoops. (English) Zbl 1352.03077

Summary: In this paper, by considering the notion of semihoop, we introduce the concepts of local and perfect semihoops and we state and prove some related results. Specially, we define the notions of some filters such as primary and perfect filters and we get the relation between perfect filters with perfect semihoops and primary filter with the local semihoops. Finally, by defining the concept of locally finite semihoop, we find a relation between local and perfect semihoops.

MSC:

03G25 Other algebras related to logic
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References:

[1] Abbasloo, Coatoms and comolecules of BL-algebras, Journal of Intelligent and Fuzzy Systems 27 (1) pp 351– (2014) · Zbl 1309.03024
[2] Borumand Saeid, Implication BL-algebras, Journal of Intelligent and Fuzzy Systems 26.3 pp 1371– (2014)
[3] Bosbach, Komplementäre Halbgruppen. Axiomatik und Arithmetik, Fundamenta Mathematicae 64 pp 257– (1969)
[4] Bosbach, Komplementäre Halbgruppen. Kongruenzen und Quotienten, Fundamenta Mathematicae 69 pp 1– (1970)
[5] Borzooei, Neutrosophic deductivefilters on BL-algebras, Journal of Intelligent and FuzzySystems 26 (6) pp 2993– (2014) · Zbl 1305.03059
[6] Esteva, Hoops and fuzzylogic, Journal of Logic and Computation 13 pp 532– (2003) · Zbl 1039.03016 · doi:10.1093/logcom/13.4.532
[7] Georgescu, Pseudo-hoops, Journal of Multiple-Valued logic and Soft Computing 11 (1-2) pp 153– (2005) · Zbl 1078.06007
[8] Haveshki, Some types offilters in BL-algebras, Soft Computing 10 pp 657– (2006) · Zbl 1103.03062 · doi:10.1007/s00500-005-0534-4
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