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In a commutative f-ring, an 1-ideal I is called pseudoprime if ab = 0 implies a E I or b E I, and is called square dominated if for every a E I, lal O}, x+ = x V 0, x = (-x) V 0, and [xl = x V (-x). Received by the editors August 21, 1987 and, in revised form, November 20, 1987. This paper was presented to the special session on Ordered Algebraic Structures of the American Mathematical Society on January 8, 1988 in Atlanta, Georgia. 1980 Mathematics Subject Classification (1985 Revision). Primary 06F25. @1988 American Mathematical Society 0002-9939/88 $1.00 + $.25 per page

Pseudoprime 𝑙-ideals in a class of 𝑓-rings