ON (NON-STANDARD) PSEUDO-VALUATIONS ON JU-ALGEBRAS

Authors

  • Daniel Abraham Romano International Mathematical Virtual Institute, Banja Luka, Bosnia and Herzegovina Author

DOI:

https://doi.org/10.37560/matbil2448272r

Keywords:

KU-algebra, JU-algebra, JU-ideal, JU-filter, standard pseudo-valuations, non-standard pseudo-valuation, congruence on JU-algebra by pseudo-valuation

Abstract

JU-algebra, as a generalization of KU-algebra, is the subject of study by several researchers in the second decade of this century. In addition to the previous one, the concept of pseudo-valuations on such algebras, generated by the ideal was introduced in 2019. This paper, as a continuation of previous research, refers to the design of the congruence relation on such an algebra  and the analysis of its properties induced by a pseudo-valuation on it. Also, three important properties of the JU-algebra quotient structure created in this way are proved.

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Published

2025-02-03

Issue

Vol. 48 No. 2 (2024): 48 (LXXIV) 2 (2024)

Section

Articles

License

Copyright (c) 2024 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
D. A. Romano, “ON (NON-STANDARD) PSEUDO-VALUATIONS ON JU-ALGEBRAS”, Mat. Bilt., vol. 48, no. 2, pp. 72–84, Feb. 2025, doi: 10.37560/matbil2448272r.