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excellent
In commutative algebra, a quasi-excellent ring is a Noetherian commutative ring that behaves well with respect to the operation of completion, and is called an excellent ring if it is also universally catenary. Excellent rings are one answer to the problem of finding a natural class of "well-behaved" rings containing most of the rings that occur in number theory and algebraic geometry. At one time it seemed that the class of Noetherian rings might be an answer to this problem, but Masayoshi Nagata and others found several strange counterexamples showing that in general Noetherian rings need not be well-behaved: for example, a normal Noetherian local ring need not be analytically normal.
The class of excellent rings was defined by Alexander Grothendieck (1965) as a candidate for such a class of well-behaved rings. Quasi-excellent rings are conjectured to be the base rings for which the problem of resolution of singularities can be solved; Heisuke Hironaka (1964) showed this in characteristic 0, but the positive characteristic case is (as of 2016) still a major open problem. Essentially all Noetherian rings that occur naturally in algebraic geometry or number theory are excellent; in fact it is quite hard to construct examples of Noetherian rings that are not excellent.
This is lightly used fully functional authentic PEC3 laser light with regular laser and infrared laser and flood light. Comes with pressure pad and uses 123 batteries.
This is real war/battle use equipment.
Retail is between 2-3k$
This Bianchi B7 2.25" Cartridge .38/.357 Gun Belt Size 40 is in EXCELLENT!
Looks NEW!
2.25 inches wide.
Western style with 1.75" billets.
Nickel-plated Gunfighter-style buckle.
Features 24 hand-woven cartridge loops.
Beautiful oil tan finish. Smooth, full grain cowhide lining.
NICE!
$80 Or...
This is a very lightly used Glock 19 Generation 4. Added Talon Grips, night sights and trigger a few years ago. The firearm is in excellent condition and has never had a single mechanical issue. Transfer at Brad's Guns, Lake Tapps.
I have a Winchester 94 30-30 in excellent condition. Made in 1977, I just installed new truglo sights on it. Comes with a Lyman flip up peep sight for farther shots. It’s been collecting dust in the safe so it’s time to go.
Cash preferred
Not really interested in trades unless it’s in my...