Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, , 89 - 93, 30.06.2021
https://doi.org/10.47000/tjmcs.789131

Öz

Kaynakça

  • [1] Graatzer, G., General Lattice Theory, Birkhauser Verlag, 1998.
  • [2] Iampan A., A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Topics, 5(1)(2017), 35–54.
  • [3] Iampan, A., Songsaeng, M., Muhiuddin, G., Fuzzy duplex UP-algebras, Eur. J. Pure Appl. Math., 13(3)(2020), 459–471.
  • [4] Jun, Y.B., Iampan, A., Implicative UP-filters, Afr. Mat., 30(7-8)(2019), 1093–1101.
  • [5] Jun, Y.B., Iampan, A., Comparative and allied UP-filters, Lobachevskii J. Math., 40(1)(2019), 60–66.
  • [6] Jun, Y.B., Iampan, A., Shift UP-filters and decomposition of UP-filters in UP-algebras, Missouri J. Math. Sci., 31(1)(2019), 36–45.
  • [7] Jun, Y.B., Muhiuddin, G., Romano, D.A., Filters in UP-algebras, review and some new reflections, J. Int. Math. Virtual Inst., 11(1)(2021), 35–52.
  • [8] Muhiuddin, G., Romano, D.A., Jun, Y.B., Prime and irreducible UP-filters of meet-commutative UP-algebras, Annals of Communications in Mathematics (Submitted).
  • [9] Prabpayak, C., Leerawat, U., On ideals and congruences in KU-algebras, Sci. Magna, 5(1)(2009), 54–57.
  • [10] Romano, D.A., Proper UP-filters in UP-algebra, Universal Journal of Mathematics and Applications, 1(2)(2018), 98–100.
  • [11] Romano, D.A., Some properties of proper UP-filters of UP-algebras, Fundamental Journal of Mathematics and Applications, 1(2)(2018), 109–111.
  • [12] Romano, D.A., Jun, Y.B., Weak implicative UP-filters in UP-algebras, Open Journal of Mathematical Sciences (OMS), 4(2020), 442–447.
  • [13] Romano, D.A., Prime UP-filter of the third kind in meet-commutative UP-algebras, Annals of Communications in Mathematics (ACM), 3(3)(2020), 193–198.
  • [14] Sawika, K., Intasan, R., Kaewwasri, A., Iampan, A., Derivation of UP-algebras, Korean J. Math., 24(3)(2016), 345–367.
  • [15] Senapati, T., Muhiuddin, G., Shum, K.P., Representation of UP-algebras in interval-valued intuitionistic fuzzy environment, Ital. J. Pure Appl. Math., 38(2017), 497–518.
  • [16] Somjanta, J., Thuekaew, N., Kumpeangkeaw, P., Iampan, A., Fuzzy sets in UP-algebras, Annal. Fuzzy Math. Inform., 12(2016), 739–756.
  • [17] Thongarsa, S., Burandate, P., Iampan, A., Some operations of fuzzy sets in UP-algebras with respect to a triangular norm, Annals of Communication in Mathematics, 2(1)(2019), 1–10.

Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras

Yıl 2021, , 89 - 93, 30.06.2021
https://doi.org/10.47000/tjmcs.789131

Öz

The concept of meet-commutative UP-algebra was introduced by Sawika et al. in 2016 and the concept of prime filters in such algebras was introduced and analyzed by Muhiuddin, Romano and Jun. In this article, as a continuation of the previous one, we introduce one more type of prime UP-filters in meet-commutative UP-algebras and we analyze the interrelationships of these two types of prime UP-filters.

Kaynakça

  • [1] Graatzer, G., General Lattice Theory, Birkhauser Verlag, 1998.
  • [2] Iampan A., A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Topics, 5(1)(2017), 35–54.
  • [3] Iampan, A., Songsaeng, M., Muhiuddin, G., Fuzzy duplex UP-algebras, Eur. J. Pure Appl. Math., 13(3)(2020), 459–471.
  • [4] Jun, Y.B., Iampan, A., Implicative UP-filters, Afr. Mat., 30(7-8)(2019), 1093–1101.
  • [5] Jun, Y.B., Iampan, A., Comparative and allied UP-filters, Lobachevskii J. Math., 40(1)(2019), 60–66.
  • [6] Jun, Y.B., Iampan, A., Shift UP-filters and decomposition of UP-filters in UP-algebras, Missouri J. Math. Sci., 31(1)(2019), 36–45.
  • [7] Jun, Y.B., Muhiuddin, G., Romano, D.A., Filters in UP-algebras, review and some new reflections, J. Int. Math. Virtual Inst., 11(1)(2021), 35–52.
  • [8] Muhiuddin, G., Romano, D.A., Jun, Y.B., Prime and irreducible UP-filters of meet-commutative UP-algebras, Annals of Communications in Mathematics (Submitted).
  • [9] Prabpayak, C., Leerawat, U., On ideals and congruences in KU-algebras, Sci. Magna, 5(1)(2009), 54–57.
  • [10] Romano, D.A., Proper UP-filters in UP-algebra, Universal Journal of Mathematics and Applications, 1(2)(2018), 98–100.
  • [11] Romano, D.A., Some properties of proper UP-filters of UP-algebras, Fundamental Journal of Mathematics and Applications, 1(2)(2018), 109–111.
  • [12] Romano, D.A., Jun, Y.B., Weak implicative UP-filters in UP-algebras, Open Journal of Mathematical Sciences (OMS), 4(2020), 442–447.
  • [13] Romano, D.A., Prime UP-filter of the third kind in meet-commutative UP-algebras, Annals of Communications in Mathematics (ACM), 3(3)(2020), 193–198.
  • [14] Sawika, K., Intasan, R., Kaewwasri, A., Iampan, A., Derivation of UP-algebras, Korean J. Math., 24(3)(2016), 345–367.
  • [15] Senapati, T., Muhiuddin, G., Shum, K.P., Representation of UP-algebras in interval-valued intuitionistic fuzzy environment, Ital. J. Pure Appl. Math., 38(2017), 497–518.
  • [16] Somjanta, J., Thuekaew, N., Kumpeangkeaw, P., Iampan, A., Fuzzy sets in UP-algebras, Annal. Fuzzy Math. Inform., 12(2016), 739–756.
  • [17] Thongarsa, S., Burandate, P., Iampan, A., Some operations of fuzzy sets in UP-algebras with respect to a triangular norm, Annals of Communication in Mathematics, 2(1)(2019), 1–10.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Daniel A. Romano 0000-0003-1148-3258

Yayımlanma Tarihi 30 Haziran 2021
Yayımlandığı Sayı Yıl 2021

Kaynak Göster

APA Romano, D. A. (2021). Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras. Turkish Journal of Mathematics and Computer Science, 13(1), 89-93. https://doi.org/10.47000/tjmcs.789131
AMA Romano DA. Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras. TJMCS. Haziran 2021;13(1):89-93. doi:10.47000/tjmcs.789131
Chicago Romano, Daniel A. “Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras”. Turkish Journal of Mathematics and Computer Science 13, sy. 1 (Haziran 2021): 89-93. https://doi.org/10.47000/tjmcs.789131.
EndNote Romano DA (01 Haziran 2021) Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras. Turkish Journal of Mathematics and Computer Science 13 1 89–93.
IEEE D. A. Romano, “Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras”, TJMCS, c. 13, sy. 1, ss. 89–93, 2021, doi: 10.47000/tjmcs.789131.
ISNAD Romano, Daniel A. “Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras”. Turkish Journal of Mathematics and Computer Science 13/1 (Haziran 2021), 89-93. https://doi.org/10.47000/tjmcs.789131.
JAMA Romano DA. Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras. TJMCS. 2021;13:89–93.
MLA Romano, Daniel A. “Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras”. Turkish Journal of Mathematics and Computer Science, c. 13, sy. 1, 2021, ss. 89-93, doi:10.47000/tjmcs.789131.
Vancouver Romano DA. Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras. TJMCS. 2021;13(1):89-93.