Characteristic (algebra) and General linear group

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Characteristic (algebra) and General linear group

Characteristic (algebra) vs. General linear group

In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0. In mathematics, the general linear group of degree n is the set of invertible matrices, together with the operation of ordinary matrix multiplication.

Characteristic (algebra)

In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.

Characteristic (algebra) and Characteristic (algebra) · Characteristic (algebra) and General linear group · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Characteristic (algebra) and Complex number · Complex number and General linear group · See more »

Division ring

In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible.

Characteristic (algebra) and Division ring · Division ring and General linear group · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Characteristic (algebra) and Field (mathematics) · Field (mathematics) and General linear group · See more »

Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.

Characteristic (algebra) and Finite field · Finite field and General linear group · See more »

Kernel (algebra)

In the various branches of mathematics that fall under the heading of abstract algebra, the kernel of a homomorphism measures the degree to which the homomorphism fails to be injective.

Characteristic (algebra) and Kernel (algebra) · General linear group and Kernel (algebra) · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Characteristic (algebra) and Mathematics · General linear group and Mathematics · See more »

Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Characteristic (algebra) and Polynomial · General linear group and Polynomial · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Characteristic (algebra) and Real number · General linear group and Real number · See more »

Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

Characteristic (algebra) and Ring (mathematics) · General linear group and Ring (mathematics) · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

Characteristic (algebra) and Vector space · General linear group and Vector space · See more »