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Motorific is the brand name of a line of battery-operated slot car toys and related accessories marketed by the Ideal Toy Company from 1964 to the early 1970s. It differed from traditional slot car sets in that the cars were powered independently by a pair of AA batteries, rather than by an electrical connection to the track.
In algebra, a prime ideal is a subset of a ring that shares many important properties of a prime number in the ring of integers. [1] [2] The prime ideals for the integers are the sets that contain all the multiples of a given prime number, together with the zero ideal. Primitive ideals are prime, and prime ideals are both primary and semiprime.
An ideal in the ring of integers of an algebraic number field is principal if it consists of multiples of a single element of the ring. By the principal ideal theorem, any non-principal ideal becomes principal when extended to an ideal of the Hilbert class field. This means that there is an element of the ring of integers of the Hilbert class ...
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 ideal is prime. Principal ideal: An ideal generated by one element. [15]
The tire diameter is given for High Flotation tires and omitted from Numeric tires. 2-digit number: The diameter of the tire in inches. x: Separator character. 3- or 4-digit number: The section width (cross-section) of the tire in inches. If the tire diameter is not given, section widths ending in zero (e.g., 7.00 or 10.50) indicate the aspect ...
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An ideal or filter is said to be proper if it is not equal to the whole set P. [3] The smallest ideal that contains a given element p is a principal ideal and p is said to be a principal element of the ideal in this situation. The principal ideal for a principal p is thus given by ↓ p = {x ∈ P | x ≤ p}.
The class number of a number field is by definition the order of the ideal class group of its ring of integers. Thus, a number field has class number 1 if and only if its ring of integers is a principal ideal domain (and thus a unique factorization domain). The fundamental theorem of arithmetic says that Q has class number 1.