Pseudo-Valuations on UP-Algebras

Daniel A. Romano

doi:10.32323/ujma.556269

EN

Pseudo-Valuations on UP-Algebras

Abstract

Looking at pseudo-valuations on some classes of abstract algebras, such as BCK, BCI, BCC and KU, in this article we introduce the concept of pseudo-valuations on UP-algebras and analyze the relationship of these mappings with UP-substructures.

Keywords

UP-algebra,UP-ideal,proper UP-filter

References

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[3] M. I. Doh and M. S. Kang. BCK/BCI-algebras with pseudo-valuation. Honam Math. J., 32(2)(2010), 217–226.
[4] M. I. Doh and M. S. Kang. Commutative pseudo valuations on BCK-algebras. Int. J. Math. Math. Sci., Vol. 2011, Article ID 754047, 6 pages
[5] S. Ghorbani. Quotient BCI-algebras induced by pseudo-valuations. Iranian J. Math. Sc. Inform., 5(2010), 13–24.
[6] A. Iampan. A new branch of the universal algebra: UP-algebras. Journal of Algebra and Related Topics, 5(1)(2017), 35–54.
[7] Y. B. Jun, S. S. Ahn amd E. H. Roh. BCC-algebras with pseudo-valuations. Filomat, 26(2)(2012), 243-–252.
[8] Y. B. Jun, K. J. Lee and S. Z. Song. Quasi-valuation maps based on positive implicative ideals in BCK-algebras. Algebra and Discrete Mathematics, 26(1)(2018), 65-–75.
[9] A. N.A. Koam, A. Haider and M. A. Ansari. Pseudo-metric on KU-algebras. Korean J. Math., 27(1)(2019), 131–140.
[10] S. Mehrshad and N. Kouhestani. On pseudo-valuations on BCK-algebras. Filomat, 32(12)(2018), 4319-–4332.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Daniel A. Romano ^*
0000-0003-1148-3258
Bosnia and Herzegovina

Publication Date

September 30, 2019

Submission Date

April 19, 2019

Acceptance Date

September 6, 2019

Published in Issue

Year 2019 Volume: 2 Number: 3

DOI

https://doi.org/10.32323/ujma.556269

IZ

https://izlik.org/JA99EZ45EP

APA

Romano, D. A. (2019). Pseudo-Valuations on UP-Algebras. Universal Journal of Mathematics and Applications, 2(3), 138-140. https://doi.org/10.32323/ujma.556269

AMA

1.Romano DA. Pseudo-Valuations on UP-Algebras. Univ. J. Math. Appl. 2019;2(3):138-140. doi:10.32323/ujma.556269

Chicago

Romano, Daniel A. 2019. “Pseudo-Valuations on UP-Algebras”. Universal Journal of Mathematics and Applications 2 (3): 138-40. https://doi.org/10.32323/ujma.556269.

EndNote

Romano DA (September 1, 2019) Pseudo-Valuations on UP-Algebras. Universal Journal of Mathematics and Applications 2 3 138–140.

IEEE

[1]D. A. Romano, “Pseudo-Valuations on UP-Algebras”, Univ. J. Math. Appl., vol. 2, no. 3, pp. 138–140, Sept. 2019, doi: 10.32323/ujma.556269.

ISNAD

Romano, Daniel A. “Pseudo-Valuations on UP-Algebras”. Universal Journal of Mathematics and Applications 2/3 (September 1, 2019): 138-140. https://doi.org/10.32323/ujma.556269.

JAMA

1.Romano DA. Pseudo-Valuations on UP-Algebras. Univ. J. Math. Appl. 2019;2:138–140.

MLA

Romano, Daniel A. “Pseudo-Valuations on UP-Algebras”. Universal Journal of Mathematics and Applications, vol. 2, no. 3, Sept. 2019, pp. 138-40, doi:10.32323/ujma.556269.

Vancouver

1.Daniel A. Romano. Pseudo-Valuations on UP-Algebras. Univ. J. Math. Appl. 2019 Sep. 1;2(3):138-40. doi:10.32323/ujma.556269