Dependent Automorphisms in Prime Rings
Copyright policy )Dependent Automorphisms in Prime Rings
AbstractFor each n ≥ 4 we construct a class of examples of a minimal C dependent set of n automorphisms of a prime ring R, where C is the extended centroid of R. For n = 4 and n = 5 it is shown that the preceding examples are completely general, whereas for n = 6 an example is given which fails to enjoy any of the nice properties of the above example.
- University of Massachusetts Amherst United States
- University of Maribor Slovenia
- University of Victoria Canada
Prime and semiprime associative rings, Conditions on elements, symmetric quotient rings, additive maps, extended centroids, minimal dependent sets, prime rings, Automorphisms and endomorphisms, dependence of automorphisms
Prime and semiprime associative rings, Conditions on elements, symmetric quotient rings, additive maps, extended centroids, minimal dependent sets, prime rings, Automorphisms and endomorphisms, dependence of automorphisms
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