Quotient ring：Ideals 和Quotient Rings
Ideals 和Quotient Rings
8.3
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The corresponding ring of cosets is called the quotient ring of R by I=ker(ϕ) and is denoted by R/I. The additive structure of the quotient ring ...
Quotient ring
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In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite ...
Quotient Ring
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The quotient of a ring R, by a two-sided ideal I, is denoted by R / I . The result is called a quotient or factor ring. It is the set of additive cosets a + I ...
Quotient Ring
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A quotient ring (also called a residue-class ring) is a ring that is the quotient of a ring A and one of its ideals a, denoted A/a.
Quotient Rings
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Since every nonzero coset has a multiplicative inverse, the quotient ring is a field. Contact information · Bruce Ikenaga's Home Page. Copyright 2018 by ...
quotient
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(A quotient ring of the integers) The set of even integers <2> = 2Z is an ideal in Z. Form the quotient ring. Z. 2Z . Construct the addition ...
Some Quotient Rings Basics
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代數導論二
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代數導論二- Ideal & Quotient Ring · 觀察：定義Coset 間乘法 · 定義：Ideal · 定義：Coset 間乘法 · 定義：Quotient Ring.