Inertial subrings of a locally finite algebra

• Autorzy: Yousef Alkhamees , Surjeet Singh
• Języki publikacji: EN

Abstrakty

EN

I. S. Cohen proved that any commutative local noetherian ring R that is J(R)-adic complete admits a coefficient subring. Analogous to the concept of a coefficient subring is the concept of an inertial subring of an algebra A over a commutative ring K. In case K is a Hensel ring and the module $A_{K}$ is finitely generated, under some additional conditions, as proved by Azumaya, A admits an inertial subring. In this paper the question of existence of an inertial subring in a locally finite algebra is discussed.

Kategorie tematyczne

• 13J15: Henselian rings
• 16L30: Noncommutative local and semilocal rings, perfect rings
• 16H05: Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 92
• Numer: 1
• Strony: 35-43

Daty

wydano

2002

Twórcy

autor

Yousef Alkhamees

• Department of Mathematics, King Saud University, PO Box 2455, Riyadh 11451, Kingdom of Saudi Arabia

autor

Surjeet Singh

• Department of Mathematics, King Saud University, PO Box 2455, Riyadh 11451, Kingdom of Saudi Arabia

Identyfikatory

DOI

10.4064/cm92-1-3