Belligerent GE-filters in GE-Algebras

Ravikumar Bandaru (1) , Arsham Borumand Saeid (2) , Young Bae Jun (3)
(1) , India,
(2) ,
(3) , Korea, Republic of

Abstract

The notion of a belligerent GE-filter in a GE-algebra is introduced, and the relationships between a GE-filter and a belligerent GE-filter will be given. Conditions for a GE-filter to be a belligerent GE-filter are provided. The product and the union of GE-algebras are discussed and its properties are investigated.

Full text article

Generated from XML file

References

Bandaru, R., Saeid, A. B., and Jun, Y. B., “On GE-algebras”, Bull. Sect. Log., 50:1 (2021), 81–96. https://doi.org/10.18778/0138-0680.2020.20

Borzooei, R. A. and Shohani, J., “On generalized Hilbert algebras”, Ital. J. Pure Appl. Math., 29 (2012), 71–86.

Chajda, I. and Halas, R., “Congruences and idealas in Hilbert algebras”, Kyungpook Math. J., 39 (1999), 429–432.

Chajda, I., Halas, R. and Jun, Y. B., “Annihilators and deductive systems in commutative Hilbert algebras”, Comment. Math. Univ. Carolinae, 43:3 (2002), 407–417.

Diego, A., Sur les algebres de Hilbert, Collection de Logique Mathematique, Edition Hermann, Serie A, XXI, 1966.

Jun, Y. B., “Commutative Hilbert algebras”, Soochow J. Math., 22:4 (1996), 477–484.

Jun, Y. B. and Kim, K. H., H-filters of Hilbert algebras, Sci. Math. Jpn., e-2005, 231- 236.

Najafi, A. and Borumand Saeid, A., “Fuzzy points in BE-algebras”, J. Mahani Math. Research Center, 8:1-2 (2019). 69-80. DOI: 10.22103/jmmrc.2019.12457.1065

Nasab, A. S. and Borumand Saeid, A., “Semi maximal filter in Hilbert algebras”, J. Intell. Fuzzy Syst., 30 (2016), 7–15. DOI:10.3233/IFS-151706

Nasab, A. S. and Borumand Saeid, A., “Stonean Hilbert algebra”, J. Intell. Fuzzy Syst., 30 (2016), 485–492. DOI:10.3233/IFS-151773

Nasab, A. S. and Borumand Saeid, A., “Study of Hilbert algebras in point of filters”, An St. Univ. Ovidius Constanta, 24:2 (2016), 221–251. DOI: 10.1515/auom-2016-003

Authors

Ravikumar Bandaru
Arsham Borumand Saeid
a_b_saeid@yahoo.com (Primary Contact)
Young Bae Jun
Bandaru, R., Borumand Saeid, A., & Jun, Y. B. (2022). Belligerent GE-filters in GE-Algebras. Journal of the Indonesian Mathematical Society, 28(1), 31–43. https://doi.org/10.22342/jims.28.1.1056.31-43

Article Details

Most read articles by the same author(s)