20.500.12556/RUNG-4902-aa60fe10-fc19-b733-2f19-7afe210d7f68
Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps
Relations between I-quasi-valuation maps and ideals in BCK/BCI
-algebras are investigated. Using the notion of an I-quasi-valuation map of a BCK/BCI-algebra, the quasi-metric space is induced, and several properties are investigated. Relations between the I-quasi-valuation map and the I-valuation map are considered, and conditions for an I-quasi-valuation map to be an I-valuation map are provided. A congruence relation is introduced by using the I-valuation map, and then the quotient structures are established and related properties are investigated. Isomorphic quotient BCK/BCI-algebras are discussed.
ideal
I-quasi-valuation map
I-valuation map
quasi-metric
true
true
false
Angleški jezik
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2019-12-01 23:09:51
2019-12-01 23:38:24
2023-06-09 03:35:25
0000-00-00 00:00:00
2018
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11
7
2
2018
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NiDoloceno
NiDoloceno
NiDoloceno
0000-00-00
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5491451
doi:10.3390/axioms7020026
URN:SI:UNG:REP:UISMTAFM
Univerza v Novi Gorici
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1
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