On -fold fuzzy implicative/commutative ideals of BCK-algebras.
Jun, Young Bae (2001)
International Journal of Mathematics and Mathematical Sciences
Jun, Young Bae, Kim, Kyung Ho (2001)
International Journal of Mathematics and Mathematical Sciences
M. Satyanarayana, C.S. Nagore (1979)
Semigroup forum
Jiří Močkoř (1981)
Czechoslovak Mathematical Journal
E.Ja. Gabovic (1974)
Semigroup forum
Rangan, G. (1985)
International Journal of Mathematics and Mathematical Sciences
Ismail M. Idris (2001)
Colloquium Mathematicae
Prestel introduced a generalization of the notion of an ordering of a field, which is called a semiordering. Prestel's axioms for a semiordered field differ from the usual (Artin-Schreier) postulates in requiring only the closedness of the domain of positivity under x ↦ xa² for non-zero a, in place of requiring that positive elements have a positive product. Our aim in this work is to study this type of ordering in the case of a division ring. We show that it actually behaves just as in the commutative...
Ismail M. Idris (2003)
Czechoslovak Mathematical Journal
Prestel introduced a generalization of the notion of an ordering of a field, which is called a semiordering. Prestel’s axioms for a semiordered field differ from the usual (Artin-Schreier) postulates in requiring only the closedness of the domain of positivity under for nonzero , instead of requiring that positive elements have a positive product. In this work, this type of ordering is studied in the case of a division ring. It is shown that it actually behaves the same as in the commutative...
Y.B. Jun, J. Meng, X.L. Xin (1997)
Semigroup forum
Kehayopulu, Niovi, Tsingelis, Michael (2005)
Lobachevskii Journal of Mathematics
T.S. Blyth, G.A. Pinto (1997)
Semigroup forum
Bludov, V.V., Lapshina, E.S. (2003)
Sibirskij Matematicheskij Zhurnal
Ján Jakubík (2002)
Czechoslovak Mathematical Journal
In this paper we prove a theorem of Cantor-Bernstein type for orthogonally -complete lattice ordered groups.
Božena Černáková (1986)
Mathematica Slovaca
N. Kehayopulu (1992)
Semigroup forum
Rajab Ali Borzooei, Arsham Borumand Saeid, Akbar Rezaei, Akefe Radfar, Reza Ameri (2013)
Discussiones Mathematicae - General Algebra and Applications
In this paper, we introduce the notion of pseudo BE-algebra which is a generalization of BE-algebra. We define the concepts of pseudo subalgebras and pseudo filters and prove that, under some conditions, pseudo subalgebra can be a pseudo filter. We prove that every homomorphic image and pre-image of a pseudo filter is also a pseudo filter. Furthermore, the notion of pseudo upper sets in pseudo BE-algebras introduced and is proved that every pseudo filter is an union of pseudo upper sets.
Young Bae Jun, Hee Sik Kim, J. Neggers (2006)
Matematički Vesnik
Grzegorz Dymek (2015)
Annales UMCS, Mathematica
The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.
Neggers, Joseph, Ahn, Sun Shin, Kim, Hee Sik (2001)
International Journal of Mathematics and Mathematical Sciences
Zhan, Jianming, Jun, Young Bae, Dudek, Wiesław A. (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series