Automorphisms of the multiplicative monoid of a direct product of D-rings with pairwise distinct cardinalities decompose canonically as the direct product of the automorphism groups of the factors.
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Automorphism groups of direct products of multiplicative monoids of certain rings
Automorphisms of the multiplicative monoid of a direct product of D-rings with pairwise distinct cardinalities decompose canonically as the direct product of the automorphism groups of the factors.