  In the early 1970's S.Tennenbaum proved that all countable models of PA^- +
forall_1-Th(N) are embeddable into the reduced product N^omega/F, where F is
the cofinite filter. In this paper we show that if M is a model of PA^- +
forall_1-Th(N), and |M|= aleph_1, then M is embeddable into N^omega/D, where D
is any regular filter on omega.
