Families of k-derivations on k-algebras

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 .

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

On Jordan generalized k-derivations of semiprime Γ_N-Rings

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 ...