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This says that if R is a Noetherian ring and I is a proper ideal generated by n elements of R, then each minimal prime over I has height at most n. The converse is also true: if a prime ideal has height n, then it is a minimal prime ideal over an ideal generated by n elements. [1]
Gold chain with garnets, rock crystals and enamel from the 16th century, Sweden. Jewellery chains, jewelry chains or body chains are metal chains [1] [2] that are used in jewellery to encircle parts of the body, [3] namely the neck, wrists and ankles, [4] and they also serve as points to hang decorative charms and pendants. [5] [6] [7]
14 karat figaro chain. The figaro chain [1] is a jewellery chain design consisting of three or more small circular links followed by one elongated oval link. The most notable figaro chains are manufactured in Italy. [2] They are usually worn by men and are often adorned with pendants such as crosses and medallions. [3]
1400–1500: During the Renaissance it was fashionable for men to wear a number of chains, plaques, and pendants around their necks, and by the end of the 15th century the wealthiest men would wear great, shoulder covering collars inlaid with gems. [4] Women typically wore simpler pieces, such as gold chains, or strung beads or pearls. [11]
Typically Roman men wore less jewelry than their female counterparts. Finger rings and fibulae were the most common forms of jewelry worn by men, but they would also sometimes wear pendants. Roman men, unlike Greek men, wore multiple rings at once. [8] Golden rings were reserved for men of senatorial rank. [10]
In modern French, pendant is the gerund form of pendre ("to hang") and also means "during". The extent to which the design of a pendant can be incorporated into an overall necklace makes it not always accurate to treat them as separate items. [2] In some cases, though, the separation between necklace and pendant is far clearer. [2]
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