منابع مشابه
Rings of Low Rank with a Standard Involution and Quaternion Rings
We consider the problem of classifying (possibly noncommutative) R-algebras of low rank over an arbitrary base ring R. We first classify algebras by their degree, and we relate the class of algebras of degree 2 to algebras with a standard involution. We then investigate a class of exceptional rings of degree 2 which occur in every rank n ≥ 1 and show that they essentially characterize all algeb...
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متن کاملRings of Low Rank with a Standard Involution
We consider the problem of classifying (possibly noncommutative) R-algebras of low rank over an arbitrary base ring R. We first classify algebras by their degree, and we relate the class of algebras of degree 2 to algebras with a standard involution. We then investigate a class of exceptional rings of degree 2 which occur in every rank n ≥ 1 and show that they essentially characterize all algeb...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 1956
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-1956-038-0