Minimal prime

Minimal prime

In mathematics, the term minimal prime is used in distinct ways:


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  • Minimal prime (commutative algebra) — In mathematics, especially in the area of algebra known as commutative algebra, certain prime ideals called minimal prime ideals play an important role in understanding rings and modules. The notion of height and Krull s Hauptidealsatz use… …   Wikipedia

  • Minimal prime (recreational mathematics) — For the term in commutative algebra, see Minimal prime (commutative algebra). In recreational number theory, a minimal prime is a prime number for which there is no shorter subsequence of its digits in a given base that form a prime. In base 10… …   Wikipedia

  • Minimal prime (number theory) — In number theory, a minimal prime is a prime number for which there is no shorter subsequence of its digits in a given base that form a prime. In base 10 there are exactly 26 minimal primes::2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 991 …   Wikipedia

  • Prime brokerage — is the generic name for a bundled package of services offered by investment banks and securities firms to hedge funds and other professional investors needing the ability to borrow securities and cash to be able to invest on a leveraged basis and …   Wikipedia

  • Minimal model program — In algebraic geometry, the minimal model program is part of the birational classification of algebraic varieties. Its goal is to construct a birational model of any complex projective variety which is as simple as possible. The subject has its… …   Wikipedia

  • Minimal model (birational geometry) — In algebraic geometry, more specifically in the field of birational geometry, the theory of minimal models is part of the birational classification of algebraic varieties. Its goal is to construct, given a variety satisying certain restrictions,… …   Wikipedia

  • Prime Directive (role-playing game) — Infobox RPG title= Prime Directive caption= designer= Mark Costello, Timothy D. Olsen publisher= Amarillo Design Bureau Inc, (formerly)Task Force Games date= 1993 (1st edition) 2002 (GURPS edition) 2005 (D20 edition) genre= Science fiction (Star… …   Wikipedia

  • List of prime numbers — This is an incomplete list, which may never be able to satisfy particular standards for completeness. You can help by expanding it with reliably sourced entries. By Euclid s theorem, there are an infinite number of prime numbers. Subsets of the… …   Wikipedia

  • Splitting of prime ideals in Galois extensions — In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of… …   Wikipedia

  • C-minimal theory — In model theory, a branch of mathematical logic, a C minimal theory is a theory that is minimal with respect to a ternary relation C with certain properties. Algebraically closed fields with a (Krull) valuation are perhaps the most important… …   Wikipedia

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