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In this paper, we study some properties of pseudo-valuations and their induced quasi metrics. The continuity of operation of a BCK-algebra was studied with topology induced by a pseudo-valuation. Moreover,… Click to show full abstract
In this paper, we study some properties of pseudo-valuations and their induced quasi metrics. The continuity of operation of a BCK-algebra was studied with topology induced by a pseudo-valuation. Moreover, we show that product of finite number of this pseudo metric spaces is a pseudo metric space. Also, we prove that if a BCK-algebra X has a pseudo-valuation, then every quotient space of X has a pseudo metric. The completion of this spaces has been investigated in the present study.
Keywords:
pseudo;
valuations bck;
pseudo metric;
bck algebras;
topology;
pseudo valuations
Journal Title: Filomat
Year Published: 2018
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Journal Title: Filomat
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!