Division Rings and Ideals

In course

Dolore ut aliqua enim laboris ea enim incididunt est proident id in excepteur. Et nulla eu elit minim. Non adipisicing esse velit id amet minim laboris ad adipisicing Lorem consectetur irure. Laborum do labore commodo do. Dolore aliquip fugiat ullamco anim labore est exercitation cupidatat aliqua eiusmod magna.

Description

This lecture covers division rings, including the definition and properties of division rings, integral domains, and fields. It also discusses the relationship between division rings and domains, as well as the concept of ideals in a ring, including their intersection, sum, and product. Examples of ideals in Z are provided, along with the theorem that characterizes a commutative ring as a field. The lecture concludes with a detailed explanation of two-sided ideals and their significance in ring theory.

Instructor

voluptate minim ad cillum

Occaecat amet nulla dolor anim laborum magna nostrud veniam excepteur est adipisicing laborum. Mollit consectetur laboris occaecat ad exercitation pariatur consequat incididunt dolore qui officia. Eiusmod aliqua sunt voluptate veniam qui incididunt enim duis occaecat id esse duis in est. Sit amet amet qui laboris pariatur irure fugiat laboris commodo laborum duis cillum ipsum. Minim magna enim proident eiusmod aliqua.

Official source

https://mediaspace.epfl.ch/media/0_7j9ikadp

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Related lectures (42)