In algebra, the prime avoidance lemma says that if an ideal I in a commutative ring R is contained in a union of finitely many prime ideals Pi's, then...

the extension L/K is assumed to be a Galois extension. Then the prime avoidance lemma can be used to show the Galois group G = Gal ⁡ ( L / K ) {\displaystyle...

the poset of annihilator ideals of submodules of A, then P is prime. Prime avoidance lemma. If R is a commutative ring, and A is a subring (possibly without...

normalization lemma Prime avoidance lemma Jónsson's lemma Fekete's lemma Fundamental lemma of calculus of variations Hopf lemma Sard's lemma (singularity...

domain, Krull ring, Krull–Akizuki theorem, Mori–Nagata theorem Primes: Prime avoidance lemma, Jacobson radical, Nilradical of a ring, Spectrum: Compact space...

four-square theorem Landau–Ramanujan constant Thue's lemma Friedlander–Iwaniec theorem D. A. Cox (1989). Primes of the Form x2 + ny2. Wiley-Interscience. ISBN 0-471-50654-0...

two non-residues is a residue. For the avoidance of doubt, these statements do not hold if the modulus is not prime. For example, there are only 3 quadratic...

not noetherian). Normal scheme Noether normalization lemma Algebraic integer Splitting of prime ideals in Galois extensions Torsor (algebraic geometry)...

Atiyah–MacDonald. But it can also be supplied privately; the idea is to use prime avoidance. Let ( R , m ) {\displaystyle (R,{\mathfrak {m}})} be a noetherian...

2013. Floriano De Angeli, "L'Europeo", n. 49, 1993 "berlusconismo" s. m., lemma del Vocabolario Treccani online, dal sito dell'Istituto dell'Enciclopedia...

M/{\underline {y}}M} , the finite union of the associated primes of the module. Thus, by prime avoidance, there is some nonzero v in M / y _ M {\displaystyle...