Reduced and irreducible simple algebraic extensions of commutative rings

Let A be a commutative ring with identity and be an algebraic element over A. We give necessary and sufficient conditions under which the simple algebraic extension A[α] is without nilpotent or without idempotent elements.

Bibliografske podrobnosti
Glavni avtor: Mihovski S.V.
Format: Article
Jezik:English
Izdano: University of Kragujevac, Faculty of Technical Sciences Čačak 2017-01-01
Serija:Mathematica Moravica
Teme:
Online dostop:http://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2017/1450-59321701069M.pdf