Mathematics – Rings and Algebras
Scientific paper
2009-10-03
Mathematics
Rings and Algebras
Scientific paper
We define a category $\galt$ of g-alternative algebras over a field $F$ and present the category of alternative algebras $\alt$ as a full subcategory of $\galt$; in the case $\ch F\neq 2$, we have $\alt=\galt$. For any g-alternative algebra $A$ we give a construction of a universal strict general actor $\cB(A)$ of $A$. We define the subset $\asoci(A)$ of $A$, and show that it is a $\cB(A)$-substructure of $A$. We prove that if $\asoci(A)=0$, then there exists an actor of $A$ in $\galt$ and $\act(A)=\cB(A)$. In particular, we obtain that if $A$ is anticommutative and $\ann(A)=0$, then there exists an actor of $A$ in $\galt$; from this, under the same conditions, we deduce the existence of an actor in $\alt$.
Casas José Manuel
Datuashvili Tamar
Ladra Manuel
No associations
LandOfFree
Actor of an alternative algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Actor of an alternative algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Actor of an alternative algebra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-432433