Results 81 to 90 of about 296 (172)

ON GROUP-LIKE BCI-ALGEBRAS

open access: yesDemonstratio Mathematica, 1988
A BCI-algebra \((G,\cdot,O)\) is called group-like iff for every \(a,b\in G\) the equation \(ax=b\) has a unique solution \(x\in G\). We prove that a BCI- algebra is group-like iff it is a quasigroup. The class of all BCI- quasigroups forms a variety which is equationally definable by \((xy)z=(xz)y\) and \(y(xy)=y\). This variety and the variety of all
openaire   +1 more source

Relationship between ideals of BCI-algebras and order ideals of its adjoint semigroup

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We consider the relationship between ideals of a BCI-algebra and order ideals of its adjoint semigroup. We show that (1) if I is an ideal, then I=M−1(M(I)), (2) M(M−1(J)) is the order ideal generated by J∩R(X), (3) if X is a BCK-algebra, then J=M(M−1(J))
Michiro Kondo
doaj   +1 more source

On pseudo-BCI-algebras

open access: yesAnnales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2015
The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.
openaire   +2 more sources

Centralizers of BCI-algebras [PDF]

open access: yesMiskolc Mathematical Notes, 2021
Najafi, A.   +2 more
openaire   +2 more sources

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