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searching for Minimal generating set 11 found (12 total)

Generating set of a module (477 words) [view diff] exact match in snippet view article find links to article

then a minimal generating set is the same thing as a basis. Unless the module is finitely generated, there may exist no minimal generating set. The cardinality

Prüfer rank (262 words) [view diff] exact match in snippet view article find links to article

that d(H){\displaystyle d(H)} will be equal to the size of any minimal generating set of H{\displaystyle H}. Those profinite groups with finite Prüfer

Hilbert basis (linear programming) (442 words) [view diff] exact match in snippet view article

implies x=0{\displaystyle x=0}. In this case there exists a unique minimal generating set of the monoid C∩L{\displaystyle C\cap L}—the Hilbert basis of C

Entanglement-assisted stabilizer formalism (3,642 words) [view diff] exact match in snippet view article find links to article

decomposition of S{\displaystyle {\mathcal {S}}} into the above minimal generating set determines that the code requires s{\displaystyle s} ancilla qubits

Complex reflection group (2,218 words) [view diff] exact match in snippet view article find links to article

reflections is not a minimal generating set, however, and every irreducible complex reflection groups of rank n has a minimal generating set consisting of either

Elementary abelian group (987 words) [view diff] exact match in snippet view article find links to article

en} , where ei has a 1 in the ith component and 0 elsewhere, is a minimal generating set. Every elementary abelian group has a fairly simple finite presentation

Lovász conjecture (958 words) [view diff] exact match in snippet view article find links to article

the Cayley graph of the wreath product Zm wr Zn with the natural minimal generating set when m is either even or three. In particular this holds for the

Rank of a group (1,475 words) [view diff] exact match in snippet view article find links to article

a cyclic group. The trivial group T has rank(T) = 0, since the minimal generating set of T is the empty set. For a free abelian group Zn{\displaystyle

Six exponentials theorem (1,831 words) [view diff] exact match in snippet view article find links to article

complex numbers l for which u(l) is an algebraic point of G. If a minimal generating set of L over Q has more than two elements then the image u(C) is an

Multiplicative group of integers modulo n (3,031 words) [view diff] exact match in snippet view article find links to article

.. (sequence A046145 in the OEIS) Numbers of the elements in a minimal generating set of mod n are 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1,

Tensor product of modules (8,052 words) [view diff] exact match in snippet view article find links to article

M\otimes _{R}-} sometimes fails to be left exact, this may not be a minimal generating set, even if the original generating sets are minimal. If M is a flat