On a construction of amalgamation I
In this paper we investigate the class of all modular GMS-algebras which contains the class of MS-algebras. We construct modular GMS-algebras from the variety by means of -quadruples. We also characterize isomorphisms of these algebras by means of -quadruples.
In this paper we deal with a homogeneity condition for an -algebra concerning a generalized cardinal property. As an application, we consider the homogeneity with respect to -completeness, where runs over the class of all infinite cardinals.
The notions of a period of an element of a pseudo-BCI-algebra and a periodic pseudo-BCI-algebra are defined. Some of their properties and characterizations are given.
In the paper the connections between the set of some maximal elements of a pseudo-BCI-algebra and deductive systems are established. Using these facts, a periodic part of a pseudo-BCI-algebra is studied.