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Abstract If X is a topological space with density d ( X )⩾2, then cf ( d (( X κ ) (λ) ))⩾cf λ, where ( X κ ) (λ) is the λ-box product of κ copies of X . We use this observation to get lower bounds… (More)
In this note we study fields F with the property that the simple transcendental extension F(u) of F is isomorphic to some subfield of F but not isomorphic to F. Such a field provides one type of… (More)
Abstract An n by n matrix M over a (commutative) field F is said to be central if M − I has rank 1. We say that M is an involution if M 2 = I ; if M is also central we call M a simple involution . We… (More)