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Topics: Quotient Module A/b Called Space Ring Submodule, Quotient Group...

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Quotient groupIn mathematics, given a group G and a normal subgroup N of G the quotient group or factor group of G over N is a group that intuitively "collapses" the normal subgroup N to the identity element. The quotient group is written G ''N and is usually spoken in Quotient fieldEvery integral domain can be embedded in a field; the smallest field which can be used is the quotient field or the field of fractions of the integral domain. The elements of the quotient field of the integral domain R have the form a/b with a and b in R Quotient ruleCalculus In calculus, the quotient rule is a method of finding the derivative of a function which is the quotient of two other functions for which derivatives exist. If the function one wishes to differentiate, f ''x , can be written as : and h ''x ≠ 0 Quotient spaceFor quotient spaces in linear algebra, see quotient space (linear algebra). In topology and related areas of mathematics, a quotient space (also called an identification space is, intuitively speaking, the result of identifying or "gluing together" certai QuotientIn mathematics, a quotient is the end result of a division problem. For example, in the problem 6 ÷ 3, the quotient would be 2, while 6 would be called the dividend, and 3 the divisor. A quotient can also mean just the integral part of the result of divid Quotient moduleIf B is a submodule of a module A of a ring R, then the quotient space A/B is also a module of R. It's called the quotient module . Quotient space (linear algebra)