1. Quotient ringIn ring theory, a branch of modern algebra, a quotient ring, also known as factor ring or residue class ring, is a construction quite similar to the factor groups of group theory and the quotient spaces of linear algebra. One starts with a ring R and a two-sided ideal I in R, and constructs a new ring, the quotient ring R/I, essentially by requiring that all elements of I be zero. Intuitively, the quotient ring R/I is a "simplified version" of R where the elements of I are "ignored".
Read “Quotient ring” on English Wikipedia
Read “剰余環” on Japanese Wikipedia
Read “Quotient ring” on DBpedia
Read “Quotient ring” on English Wikipedia
Read “剰余環” on Japanese Wikipedia
Read “Quotient ring” on DBpedia
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