Abstract
Let [Formula: see text] and [Formula: see text]. A ring [Formula: see text] is called a [Formula: see text]-ring if for every [Formula: see text] [Formula: see text]-subsets [Formula: see text] of [Formula: see text] there exist [Formula: see text] and [Formula: see text] such that [Formula: see text]. We give noncommutative examples of such rings, and we discuss finiteness and commutativity.
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