Table of Content
Anas Al-Masarwah
Open AccessArticleDirect product of anti N-H-ideals in BCK-algebras
Anas Al-Masarwah
Annals of Communications in Mathematics 2020,
3 (4),
309-316
DOI: https://doi.org/10.62072/acm.2020.030408
AbstractIn this paper, we introduce the notion of anti N -H-ideals of a BCK-algebra. Then, the notion of the direct product of two anti N -H-ideals by using minimum operation is introduced, and some related properties are studied. Ordinary H-ideals are linked with anti N -H-ideals by means of an anti N -s-level set of the direct product of two N – structures.
Open AccessArticleDoubt N-ideals theory in BCK-algebras based on N-structures
Abd Ghafur Ahmad, Anas Al-Masarwah* and G. Muhiuddin
Annals of Communications in Mathematics 2020,
3 (1),
54-62
DOI: https://doi.org/10.62072/acm.2020.030106
AbstractThe notions of doubt N -subalgebras and doubt N -ideals in BCK-algebras are introduced, and related properties are investigated. Characterizations of a doubt N – subalgebra and a doubt N -ideal are given, and relations between them are discussed.
Open AccessArticleA new form of generalized m-PF Ideals in BCK/BCI-algebras
Abd Ghafur Ahmad and Anas Al-Masarwah*
Annals of Communications in Mathematics 2019,
2 (1),
11-16
DOI: https://doi.org/10.62072/acm.2019.020102
AbstractIn this paper, we introduce a new kind of an m-polar fuzzy ideal of a BCK/ BCI-algebra called, an m-polar (∈, ∈ ∨q) fuzzy ideal and investigate some of its properties. Ordinary ideals and m-polar (∈, ∈ ∨ q) fuzzy ideals are connected by means of level cut subset.