Question about maximality principles, lattices, AC and its equivalents
in [Math]
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From: Saviola on 25 Jul 2010 02:45 I'm really sorry. (DMI) isn't the same as (DPI), I forgot to write the (DMI) statement. In fact, according to the book I'm reading, (DPI) cannot imply (AC). Here is the (DMI) statement: (DMI): Every distributive lattice with 1, which has more than one element, contains a maximal ideal. Once again, I'm sorry for the unclear post.
From: William Elliot on 25 Jul 2010 23:03
On Sun, 25 Jul 2010, Saviola wrote: > I'm really sorry. > (DMI) isn't the same as (DPI), I forgot to write the (DMI) statement. In > fact, according to the book I'm reading, (DPI) cannot imply (AC). > Here is the (DMI) statement: > (DMI): Every distributive lattice with 1, which has more than one element, contains a maximal ideal. Ok, post the corrected question in its entirety and I'll take a look at it. |