Definition & Betydelse | Engelska ordet ENDOMORPHISMS

Definition av ENDOMORPHISMS

1. böjningsform av endomorphism

Exempel på hur man kan använda ENDOMORPHISMS i en mening

• Under this addition, and with multiplication being defined as function composition, the endomorphisms of an abelian group form a ring (the endomorphism ring).
• Addition of endomorphisms arises naturally in a pointwise manner and multiplication via endomorphism composition.
• In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or endomorphisms of a vector space) in such a way that the Lie bracket is given by the commutator.
• Semirings are abundant because a suitable multiplication operation arises as the function composition of endomorphisms over any commutative monoid.
• However, other notations are also regularly used: in general relativity, vector bundle computations are usually written using indexed tensors; in gauge theory, the endomorphisms of the vector space fibers are emphasized.
• The structure of left primitive rings is completely determined by the Jacobson density theorem: A ring is left primitive if and only if it is isomorphic to a dense subring of the ring of endomorphisms of a left vector space over a division ring.
• When the field of definition is a finite field, there are always non-trivial endomorphisms of an elliptic curve, coming from the Frobenius map, so every such curve has complex multiplication (and the terminology is not often applied).
• If G is abelian then the set of endomorphisms is already additively closed, so that the additive closure is just the set of endomorphisms of G, and it forms not just a near-ring, but a ring.
• In abstract algebra, the derivative algebra of a not-necessarily associative algebra A over a field F is the subalgebra of the algebra of linear endomorphisms of A consisting of the derivations.
• a subcategory having subobjects and direct sums, such that the C*-algebra of endomorphisms of the monoidal unit contains only scalars.
• Ado's theorem states that every finite-dimensional Lie algebra over a field of characteristic zero embeds into the Lie algebra of endomorphisms of some finite-dimensional vector space.
• 2020 – ANTS XIV – Jonathan Love and Dan Boneh – Supersingular curves with small non-integer endomorphisms.
• In the language of centralizers, a balanced module is one satisfying the conclusion of the double centralizer theorem, that is, the only endomorphisms of the group M commuting with all the R endomorphisms of M are the ones induced by right multiplication by ring elements.
• where the wedge product occurs on the one-form component, and one composes endomorphisms on the endomorphism component.

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