Geodesic
Perception of BCC-algebras under the bishops principled-philosophical orientation: BCC-algebra with apartness
Filomat, Tome 33 (2019) no. 19, p. 6369

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DOI

In this paper it is given a short introduction in a reconsideration about BCC-algebras under the light of Bishop's principled-philosophical orientation. At the first, it is introduced the concept of BCC-algebras into this orientation. Additionally, the consequences of the selected axioms in the determination of BCC-algebras with apartness are analyzed. Also, some substructures in the BCC-algebras with apart-ness that have no counterparts in the classical case and which appear as products of the chosen logical environment such as co-ideals are analyzed. At the end, two different results that can be viewed as the isomorphism theorem in for BCC-algebras are exposed
DOI : 10.2298/FIL1919369R
Classification : 03F65, 03B47, 03G25, 08A30
Keywords: Bishop’s constructive mathematics, BCC-algebra with apartness, co-ideal, co-congruence, strongly extensional homo- morphism 
Daniel A Romano. Perception of BCC-algebras under the bishops principled-philosophical orientation: BCC-algebra with apartness. Filomat, Tome 33 (2019) no. 19, p. 6369 . doi: 10.2298/FIL1919369R
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