Irreducible element：irreducible element in nLab
irreducible element in nLab
Inacommutativering,anelementisirreducibleifitisneitherinvertiblenortheproductoftwonon-invertibleelements,withrespecttothe ...。其他文章還包含有：「IntuitionbehindIrreducibleElementsandPrimeElements」、「Irreducibleelement(ringtheory)」、「IrreducibleElement」、「Irreducibleelement」、「IrreducibleElement」、「Irreduciblepolynomial」、「Primeandirreducibleelements」
查看更多 離開網站
Intuition behind Irreducible Elements and Prime Elements
https://math.stackexchange.com
All factors of an irreducible element are trivial, being units or associates. In that sense it cannot be reduced to a simpler expression.
Irreducible element (ring theory)
https://arbital.com
In a ring R which is an integral domain, we say that an element x ∈ R is irreducible if, whenever we write r = a × b , it is the case that (at least) one of a ...
Irreducible Element
https://academic-accelerator.c
The irreducible element is the final element in the factorization process. That is, it is a factor that cannot be factored any further. If the domain of ...
Irreducible element
https://en.wikipedia.org
In algebra, an irreducible element of an integral domain is a non-zero element that is not invertible and is not the product of two non-invertible elements.
Irreducible Element
https://mathworld.wolfram.com
An element a of a ring which is nonzero, not a unit, and whose only divisors are the trivial ones (i.e., the units and the products ua, where u is a unit).
Irreducible polynomial
https://en.wikipedia.org
In mathematics, an irreducible polynomial is, roughly speaking, a polynomial that cannot be factored into the product of two non-constant polynomials.
Prime and irreducible elements
https://epgp.inflibnet.ac.in
In this section the notion of prime integers are generalized into prime elements and irreducible elements in a commutative ring with 1. Definition 0.1. Let R be ...