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...quotients, which is unique; in other words, one cannot have both types of quotients (without them being the same). == Relation to other quotients == ...

...</math>) and [[GIT quotient]]s (e.g., <math>X/\!/G</math>) are categorical quotients. ...

...of [[integer]]s is to [[multiplication]]. The construction of convolution quotients allows easy algebraic representation of the [[Dirac delta function]], [[int Convolution quotients were introduced by {{harvs|txt|last=Mikusiński|authorlink=Jan Mikusiński|ye ...

...ludes all regular operators and has the algebraic character of convolution quotients. On the other hand, it includes all [[Distribution (mathematics)|distribut ...de suites et leurs applications dans l'analyse fonctionnelle'' (French), [Quotients of sequences and their applications in functional analysis], C. R. Acad. Sc ...

...a '''rational extension'''". Dense submodules are connected with rings of quotients in [[noncommutative ring|noncommutative]] ring theory. Most of the results === Maximal right ring of quotients === ...

===Partial quotients with more than two digits=== ...

*closed under taking [[Semigroup#Quotients and divisions|quotients]] ...

*Stenstrom, Bo ''Rings of Quotients: An Introduction To Methods Of Ring Theory – Chapter 6'', Springer, {{ISBN| ...

...ric invariant theory]], a theory which explains how to take [[GIT quotient|quotients of algebraic varieties]] by group actions, and obtain a [[Quotient space (t ...example of this principle is the [[Kempf–Ness theorem]], which relates GIT quotients to [[symplectic quotient]]s by showing that stable points minimize the ener ...

...ents all involved categories are abelian and all functors are exact. Serre quotients also often have the character of [[Localization of a category|localizations == Theorems involving Serre quotients == ...

...y impartial games, such commutative monoids have become known as '''misere quotients'''. ==Algorithms for computing misere quotients== ...

*is closed under [[Semigroup#Quotients and divisions|division]]. ...o stating that ''V'' is closed under taking subsemigroups and under taking quotients. The second property implies that the empty product—that is, the trivial se ...

...of cubic power series in <math>\mathbb{F}_2((X^{-1}))</math> whose partial quotients are bounded. (The degree of the power series in Baum and Sweet's result is They go on to prove that this unique root has partial quotients of degree <math>\le 2</math>. Before doing so, they state (in the remark fo ...

# The [[maximal ring of quotients|maximal right ring of quotients]] <math>Q_{max}^r(R)</math> is von Neumann regular. ...lar modules to characterize the class of rings whose maximal right ring of quotients have a certain structure. ...

...ast=Melham |editor2-first=Tom |chapter=A Design Structure for Higher Order Quotients |chapter-url=https://link.springer.com/chapter/10.1007/11541868_9 |title=Th ...lgebraic structures whose [[underlying set]] is a quotient are also termed quotients. Examples of such quotient structures include quotient [[quotient set|sets] ...

*[[Restricted partial quotients#Zaremba's conjecture|Zaremba's conjecture]] ...

A '''Melnikov formation''' is closed under taking [[quotient group|quotients]], [[normal subgroup]]s and [[group extension]]s. Thus a Melnikov formatio An '''almost full formation''' is one which is closed under quotients, [[direct product of groups|direct products]] and subgroups, but not necess ...

== Relation to subspaces, quotients, and products == ...

===Quotients=== ...

* Bo Stenström; 1975; <cite>Rings of quotients</cite>. Springer. ...