On the Structure of Interior KU-algebras and KU-ideals
DOI:
https://doi.org/10.26713/cma.v14i1.1737Keywords:
KU-algebra, Interior algebra, Interior ideals, Positive implicativeAbstract
In this paper, the notation of interior KU-algebra and some related definitions are introduced. Various characterisations for the interior KU-algebra have been proved. The concept of interior positive implicative KU-algebra and prove some results regarding this concept are also presented. In addition, the interior KU-ideals and several properties of these ideals are presented.
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G. Castellini, Interior operators, open morphisms and the preservation property, Applied Categorical Structures 23(3) (2015), 311 – 322, DOI: 10.1007/s10485-013-9337-4.
G. Castellini and J. Ramos, Interior operators and topological connectedness, Quaestiones Mathematicae 33(3) (2010), 290 – 304, DOI: 10.2989/16073606.2010.507322.
S. M. Mostafa, M. A. Abd-Elnaby and M. M. M. Yousef, Fuzzy ideals of KU-algebras, International Mathematical Forum 6 (2011), 3139 – 3149.
S. M. Mostafa and F. F. Kareem, N-fold commutative KU-algebras, International Journal of Algebra 8(6) (2014), 267 – 275, DOI: 10.12988/ija.2014.428.
S. M. Mostafa, A. E. Radwan, F. A. Ibrahem and F. F. Kareem, Topology spectrum of a KU-algebra, Journal of New Theory 8 (2015), 78 – 91, URL: https://dergipark.org.tr/en/download/article-file/407506.
C. Prabpayak and U. Leerawat, On ideals and congruences in KU-algebras, Scientia Magna 5(1) (2009), 54 – 57, URL: https://fs.unm.edu/ScientiaMagna5no1.pdf.
C. Prabpayak and U. Leerawat, On isomorphisms of KU-algebras, Scientia Magna 5(3) (2009), 25 – 31, 2009, URL: https://fs.unm.edu/ScientiaMagna5no3.pdf.
J. Sgro, The interior operator logic and product topologies, Transactions of the American Mathematical Society 258(1) (1980), 99 – 112, DOI: 10.1090/S0002-9947-1980-0554321-4.
S. J. R. Vorster, Interior operators in general categories, Quaestiones Mathematicae 23(4) (2000), 405 – 416, DOI: 10.2989/16073600009485987.
O. G. Xi, Fuzzy BCK-algebras, Mathematica Japonica 36 (1991), 935 – 942.
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