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Qu'est-ce (qui) est quasi-ring - définition

A NOETHERIAN UNIVERSALLY CATENARY RING THAT IS J-2 AND GROTHENDIECK

Excellent scheme; Quasi excellent ring; Quasi-excellent ring; Quasi-excellent; Quasi excellent; Excellent rings; Quasi-excellent scheme; Quasi-excellence

Quasi-Frobenius ring

User:Rschwieb/Quasi-Frobenius ring

In mathematics, especially ring theory, the class of Frobenius rings and their generalizations are the extension of work done on Frobenius algebras. Perhaps the most important generalization is that of quasi-Frobenius rings (QF rings), which are in turn generalized by right pseudo-Frobenius rings (PF rings) and right finitely pseudo-Frobenius rings (FPF rings).

https://en.wikipedia.org/wiki/Quasi-Frobenius_ring

Quasi-unmixed ring

A NOETHERIAN RING

Formally equidimensional ring; Formally catenary ring

In algebra, specifically in the theory of commutative rings, a quasi-unmixed ring (also called a formally equidimensional ring in EGA) is a Noetherian ring A such that for each prime ideal p, the completion of the localization Ap is equidimensional, i.e.

https://en.wikipedia.org/wiki/Quasi-unmixed_ring

Quasi-market

TYPE OF EXCHANGE SYSTEM

Quasi market

Quasi-markets, are markets which can be supervised and organisationally designed that are intended to create greater desire and more efficiency in comparison to conventional delivery systems, while supporting more accessibility, stability and impartiality than traditional markets. Quasi-markets also can be referred to as internal or planned markets.

https://en.wikipedia.org/wiki/Quasi-market

Wikipédia

Excellent ring

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; 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.

https://en.wikipedia.org/wiki/Excellent ring