symmetric monoidal (∞,1)-category of spectra
monoid theory in algebra:
In a monoid, an element is irreducible if it is neither invertible nor the product of two non-invertible elements. Without bias, we can say that is irreducible if, whenever it is written as a product of a finite list of elements, at least one element in the list is invertible.
In a commutative ring, an element is irreducible if it is neither invertible nor the product of two non-invertible elements, with respect to the multiplication operation on the commutative ring.
Every prime number is an irreducible element in the integers.
Given a field , every monic polynomial of degree one is an irreducible element in the univariate polynomial ring .
Last revised on January 22, 2023 at 20:40:20. See the history of this page for a list of all contributions to it.