Year 2020, Volume 8 , Issue 1, Pages 155 - 158 2020-03-20

Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras

Daniel A. ROMANO [1]


The notion of pseudo-UP algebras is introduced and analyzed in our forthcoming article as a generalization of UP-algebras.
In this article, as a continuation of the foregoing, we introduce and analyze concepts of pseudo-UP ideals and pseudo-UP filters in pseudo-UP algebras.

UP-algebra, Pseudo-UP algebra, Pseudo-UP filter, Pseudo-UP ideal
  • W. A. Dudek and Y. B. Jun. Pseudo-BCI algebras. East Asian Math. J., 24(2)(2008), 187-–190.
  • G. Dymek. Atoms and ideals of pseudo-BCI-algebras. Comment. Math., 52(1)(2012), 73-–90.
  • G. Georgescu and A. Iorgulescu. Pseudo-BCK algebras: An extension of BCK-algebras. Combinatorics, computability and logic (Constanta, 2001)}, (pp. 97-–114), Springer Ser. Discrete Math. Theor. Comput. Sci. Springer, London, 2001.
  • P. Emanovský and J. K\"{u}hr. Some properties of pseudo-BCK- and pseudo-BCI-algebras. \emph{Fuzzy Sets and Systems}, \textbf{339}(2018), 1--16.
  • A. Iampan. A new branch of the logical algebra: UP-algebras. J. Algebra Relat Top., 5(1)(2017), 35-–54.
  • A. Iorgulescu. On pseudo-BCK algebras and porims. Sci. Math. Japonicae Online, 10(2004), 293-–305.
  • A. Iorgulescu. Classes of pseudo-BCK algebras – Part I. J. of Mult.-Valued Logic Soft Comput., 12(2006), 71-–130.
  • Y. B. Jun, M. Kondo and K. H. Kim. Pseudo-ideals of pseudo-BCK algebras. Sci. Math. Japonicae Online, 8(2003), 87--91.
  • Y. B. Jun, H. S. Kim and J. Neggers. On pseudo-BCI ideals of pseudo-BCI algebras. Mat. Vesnik, 58(1)(2006), 39-–46.
  • Y. B. Jun and A. Iampan. Shift UP-filters and decomposition of UP-filters in UP-Algebras. Missouri J. Math. Sci., 31(1)(2019), 36--45.
  • K. J. Lee and C. H. Park. Some ideals of pseudo-BCI-algebras. J. Appl. Math. Inform., 27(1-2)(2009), 217-–231.
  • D. A. Romano. Proper UP-filters in UP-algebra. Universal J. Math. Appl., 1(2)(2018), 98--100.
  • D A. Romano. Notes on UP-ideals in UP-algebras. Comm. Advan. Math. Sci., 1(1)(2018), 35--38.
  • D A. Romano. Some properties of proper UP-filters of UP-algebras. Fund. J. Math. Appl., 1(2)(2018), 109--111.
  • D A. Romano. Some decomposition of UP-ideals and proper UP-filters. Math. Advan. Pure Appl. Sci., 2(1)(2019), 16--18.
  • D. A. Romano. Pseudo-valuations on UP-algebras. Universal J. Math. Appl., 2(3)(2019), 138--140.
  • D. A. Romano. Pseudo-UP algebras, An introduction. (To appear). Available at\\ https://www.researchgate.net/profile/DanielRomano
  • J. Somjanta, N. Thuekaew, P. Kumpeangkeaw and A. Iampan. Fuzzy sets in UP-algebras. Ann. Fuzzy Math. Inform., 12(6)(2016), 739--756.
  • A. Walendziak. On axiom systems of pseudo-BCK algebras. Bull. Malays. Math. Sci. Soc. (2), 34(2)(2011), 287-–293.
Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0003-1148-3258
Author: Daniel A. ROMANO (Primary Author)
Institution: International Mathematical Virtual Institute
Country: Bosnia and Herzegovina


Dates

Publication Date : March 20, 2020

Bibtex @research article { mathenot630110, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2020}, volume = {8}, pages = {155 - 158}, doi = {10.36753/mathenot.630110}, title = {Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras}, key = {cite}, author = {ROMANO, Daniel A.} }
APA ROMANO, D . (2020). Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras. Mathematical Sciences and Applications E-Notes , 8 (1) , 155-158 . DOI: 10.36753/mathenot.630110
MLA ROMANO, D . "Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras". Mathematical Sciences and Applications E-Notes 8 (2020 ): 155-158 <https://dergipark.org.tr/en/pub/mathenot/issue/53229/630110>
Chicago ROMANO, D . "Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras". Mathematical Sciences and Applications E-Notes 8 (2020 ): 155-158
RIS TY - JOUR T1 - Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras AU - Daniel A. ROMANO Y1 - 2020 PY - 2020 N1 - doi: 10.36753/mathenot.630110 DO - 10.36753/mathenot.630110 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 155 EP - 158 VL - 8 IS - 1 SN - -2147-6268 M3 - doi: 10.36753/mathenot.630110 UR - https://doi.org/10.36753/mathenot.630110 Y2 - 2020 ER -
EndNote %0 Mathematical Sciences and Applications E-Notes Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras %A Daniel A. ROMANO %T Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras %D 2020 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 8 %N 1 %R doi: 10.36753/mathenot.630110 %U 10.36753/mathenot.630110
ISNAD ROMANO, Daniel A. . "Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras". Mathematical Sciences and Applications E-Notes 8 / 1 (March 2020): 155-158 . https://doi.org/10.36753/mathenot.630110
AMA ROMANO D . Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras. Math. Sci. Appl. E-Notes. 2020; 8(1): 155-158.
Vancouver ROMANO D . Pseudo-UP Ideals and Pseudo-UP Filters in Pseudo-UP Algebras. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 158-155.