Abstract
ABSTRACT Given a family of commutative rings {R α}α∈A , we investigate the family 𝒜(∏α∈A R α) of Artinian subrings of ∏α∈A R α. This paper deals also with the question of when a pair (∏α∈A R α, ∏α∈A T α) is zero-dimensional, where {(R α, T α)}α∈A is a family of zero-dimensional pairs.
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