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Here is what the most popular diamond shapes for engagement rings mean. While reading, think about which shape reflects you and your partner. Round Brilliant Cut: Traditional and Elegant
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[citation needed] A trio ring set includes a women's engagement ring, a women's wedding band, and a men's wedding band. These sets often have matching rings and are lower in price. [citation needed] In Nordic countries, engagement rings are worn by both men and women. Traditionally they are plain gold bands, although more ornate designs and ...
The factor ring of a radical ideal is a semiprime ring for general rings, and is a reduced ring for commutative rings. Primary ideal: An ideal I is called a primary ideal if for all a and b in R, if ab is in I, then at least one of a and b n is in I for some natural number n. Every prime ideal is primary, but not conversely. A semiprime primary ...
An important ideal of the ring called the Jacobson radical can be defined using maximal right (or maximal left) ideals. If R is a unital commutative ring with an ideal m, then k = R/m is a field if and only if m is a maximal ideal. In that case, R/m is known as the residue field. This fact can fail in non-unital rings.
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