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(1) It is shown that ifc is real-valued measurable then the Maharam type of (c, P(c),σ) is 2 c . This answers a question of D. Fremlin [Fr, (P2f)].  (2) A different construction of a model with a real-valued measurable cardinal is given from that of R. Solovay [So]. This answers a question of D. Fremlin [Fr, (P1)].    (3) The forcing with aκ-complete ideal over a setX, |X| ≥κ cannot be isomorphic to Random × Cohen or Cohen × Random. The result forX=κ was proved in [Gi-Sh1] but, as was pointed out to us by M. Burke, the application of it in [Gi-Sh2] requires dealing with anyX. The application is: ifA  n  is a set of reals fornω then for some pairwise disjointB  n  (fornω) we haveB  n  ⊆A  n  but they have the same outer Lebesgue measure.

More on real-valued measurable cardinals and forcing with ideals