Title: | Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps |
---|
Authors: | ID Bordbar, Hashem (Author) ID Jun, Young Bae (Author) ID Song, Seok Zun (Author) |
Files: |
This document has no files that are freely available to the public. This document may have a physical copy in the library of the organization, check the status via COBISS. |
---|
Language: | English |
---|
Work type: | Not categorized |
---|
Typology: | 1.01 - Original Scientific Article |
---|
Organization: | UNG - University of Nova Gorica
|
---|
Abstract: | 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. |
---|
Keywords: | ideal, I-quasi-valuation map, I-valuation map, quasi-metric |
---|
Year of publishing: | 2018 |
---|
Number of pages: | 11 |
---|
Numbering: | 2, 7 |
---|
PID: | 20.500.12556/RUNG-4902-aa60fe10-fc19-b733-2f19-7afe210d7f68 |
---|
COBISS.SI-ID: | 5491451 |
---|
DOI: | doi:10.3390/axioms7020026 |
---|
NUK URN: | URN:SI:UNG:REP:UISMTAFM |
---|
Publication date in RUNG: | 01.12.2019 |
---|
Views: | 3722 |
---|
Downloads: | 0 |
---|
Metadata: | |
---|
:
|
Copy citation |
---|
| | | Average score: | (0 votes) |
---|
Your score: | Voting is allowed only for logged in users. |
---|
Share: | |
---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |