4 papers
The UP-Isomorphism Theorems for UP-algebras
Aiyared Iampan
In this paper, we construct the fundamental theorem of UP-homomorphisms in UP-algebras. We also give an application of the theorem to the first, second, third and fourth UP-isomorp…
Introducing fully UP-semigroups
Aiyared Iampan
In this paper, we introduce some new classes of algebras related to UP-algebras and semigroups, called a left UP-semigroup, a right UP-semigroup, a fully UP-semigroup, a left-left…
On Properties of Generalized Bi-Γ-Ideals of Γ-Semirings
Teerayut Chomchuen, Aiyared Iampan
The notion of -semirings was introduced by Murali Krishna Rao \cite{Rao} as a generalization of the notion of -rings as well as of semirings. We have known that the notion of…
P-Regular Nearrings Characterized by Their Bi-ideals
Aphisit Muangma, Aiyared Iampan
Using the idea of quasi-ideals of -regular nearrings, the concept of bi-ideals of -regular nearrings is generalized, which is an extension of the concept of quasi-ideals of $…