On K-homomorphisms of K-algebras

On K-Homomorphisms of K-Algebras

The authors have introduced a class of K-algebras in [1] and have further extended its scope of study in literature [2, 3, 4, 5]. In this paper, we introduce the notion of K-homomorphism of K-algebras, and investigate some of their properties and structure. Mathematics Subject Classification: 06F35

A Review on Hyper K-algebras

Some result on simple hyper K-algebras

A simple method is described, to prove some theorems for simple hyper K-algebras and to study positive implicative hyper K-ideals, weak (implicative ) hyper K-ideals in simple hyper K-algebras . Beside, some results on positive implicative and (weak) implicative simple hyper K-algebras are presented. Finally classification of simple hyper Kalgebras of order 4, which are satisfied in conditions ...

Families of k-derivations on k-algebras

Let A be an integral k-algebra of finite type over a field k of characteristic zero. Let F be a family of k-derivations on A and MF the A-module spanned by F . In this paper, we generalise a result due to A. Nowicki and construct an element ∂ of MF such that ker ∂ = ∩d∈Fker d. Such a derivation is called F-minimal. Then we establish a density theorem for F-minimal derivations in MF .

On K-algebras and BCI-algebras

In this paper we show that the K-algebra (G, ·, , e) on an abelian group (G, ·) is equivalent to the p-semisimple BCI-algebra (G; , e). Mathematics Subject Classification: 06F35, 20A05.