Abstract:ABSTRACT. For a commutative ring A with identity, and for infinite cardinals α as well as the symbol ∞, which indicates the situation in which there are no cardinal restrictions, one defines A to be α-regular if for each subset D of A, with |D| < α and de = 0, forThis paper studies α-regular archimedean f -rings, relative to lateral α-completeness. The main result is that the operator l(α) that gives the lateral α-completion commutes with b, the reflection that closes an f -ring with respect to bounded inversi… Show more
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