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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]
A pendant light, sometimes called a drop or suspender, is a lone light fixture that hangs from the ceiling usually suspended by a cord, chain, or metal rod. [1] Pendant lights are often used in multiples, hung in a straight line over kitchen countertops and dinette sets or sometimes in bathrooms.
Under-cabinet light – mounted below kitchen wall cabinets. Display Case or Showcase light – shows merchandise on display within an enclosed case such as jewelry, grocery stores, and chain stores. Ceiling fan – may sometimes have a light, often referred to as a light kit mounted to it. Ceiling fans with built-in lights may eliminate the ...
Bracelet and necklace wire components are generally made out of wire that is 16-, 18- or 20-gauge (1.3 to 0.8 mm). Earring wires are usually made out of 18- or 20-gauge wire (1.0 to 0.8 mm). When making wire wrapped jewelry, these components are connected to one another with wire that is generally 20- to 26-gauge (0.8 to 0.4 mm). Frequently the ...
Chainrings (also called "chain rings", [11] "chainwheels" or "sprockets", although sprocket is used this way mostly in the BMX community [3]) engage the chain to transfer power to the (usually rear) wheel. They usually have teeth spaced to engage every link of the chain as it passes over; however, in the past, some designs (called skip-tooth or ...
Typically sold in a set that measures dry or wet ingredients in amounts from 1/4 teaspoon (1.25 ml) up to 1 tablespoon (15 ml). [9] Meat grinder: Mincer: Operated with a hand-crank, this presses meat through a chopping or pureeing attachment. Meat tenderiser: Used to tenderize meats in preparation for cooking. Usually shaped like a mallet. Meat ...
Dually, the height of the partially ordered set (the length of its longest chain) equals by Mirsky's theorem the minimum number of antichains into which the set can be partitioned. The family of all antichains in a finite partially ordered set can be given join and meet operations, making them into a distributive lattice .
The third of the properties listed above says that the set of non-units in a local ring forms a (proper) ideal, [3] necessarily contained in the Jacobson radical. The fourth property can be paraphrased as follows: a ring R is local if and only if there do not exist two coprime proper ( principal ) (left) ideals, where two ideals I 1 , I 2 are ...