- left invertible element
- матем.обратимый слева элемент
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Inverse element — In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication. The intuition is of an element that can undo the effect of combination with… … Wikipedia
Non-invertible — Matrice inversible En mathématiques et plus particulièrement en algèbre linéaire, une matrice carrée A d ordre n est dite inversible ou régulière ou encore non singulière, s il existe une matrice B d ordre n telle que AB = BA = In, ( AB = In… … Wikipédia en Français
Cancellation property — In mathematics, the notion of cancellative is a generalization of the notion of invertible. An element a in a magma (M,*) has the left cancellation property (or is left cancellative) if for all b and c in M, a * b = a * c… … Wikipedia
Moufang loop — In mathematics, a Moufang loop is a special kind of algebraic structure. It is similar to a group in many ways but need not be associative. Moufang loops were introduced by Ruth Moufang. Contents 1 Definition 2 Examples 3 Properties … Wikipedia
Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… … Wikipedia
Division (mathematics) — Divided redirects here. For other uses, see Divided (disambiguation). For the digital implementation of mathematical division, see Division (digital). In mathematics, especially in elementary arithmetic, division (÷ … Wikipedia
Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… … Wikipedia
Bijection, injection and surjection — In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each… … Wikipedia
Alternative algebra — In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative. That is, one must have *x(xy) = (xx)y *(yx)x = y(xx)for all x and y in the algebra. Every associative algebra is… … Wikipedia
Unit (ring theory) — In mathematics, a unit in a (unital) ring R is an invertible element of R , i.e. an element u such that there is a v in R with : uv = vu = 1 R , where 1 R is the multiplicative identity element.That is, u is an invertible element of the… … Wikipedia
Finite field arithmetic — Arithmetic in a finite field is different from standard integer arithmetic. There are a limited number of elements in the finite field; all operations performed in the finite field result in an element within that field.While each finite field is … Wikipedia