PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 41(55), pp. 4952 (1987) 

ON AUTOMORPHISM GROUPS OF NONASSOCIATIVE BOOLEAN RINGSSinMin LeeDept. of Maths. and Computer Science San Jose State University, San Jose, California 95192, USAAbstract: The present paper is concerned with the study of $\Aut(B(n))$ the automorphism group of a nonassociative Boolean rings $B(n)$, where $\left$ is a free 2group on n generators $\{x_i\}$ $i=1,\dots,n$, subject with $X_i\circ X_j=X_i+X_j$ for $i\neq j$. It is shown that for $n$ even, Aut$(B(n))=S_{n+1}$ and for $n$ odd, Aut$(B(n))=S_n$. An example of a nonassociative Boolean ring $R$ of order 8 is provided which shows that in general Aut$(R)$ is not a symmetric group. Classification (MSC2000): 17A36 Full text of the article:
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