Monogenous algebras. Back to Kronecker

Details Monogenous algebras. Back to Kronecker Monogenous algebras. Back to Kronecker

2003-10-17

arxiv.org/abs/math/0310260v1

Mathematics

Commutative Algebra

Note ecrite en septembre 2003. 13 pages

Scientific paper

In this note we develop some properties of those algebras (called here locally simple) which can be generated by a single element after, if need be, a faithfully flat extension. For finite algebras, this is shown to be in fact a property of the geometric fibers. Morphisms between rings of algebraic integers are locally simple. Expanding an idea introduced by Kronecker we show that much of the properties (in particular local simplicity) of a finite and locally free A-algebra B can be read through the characteristic polynomial of the generic element of B.

Affiliated with

Also associated with

No associations

Rating

Monogenous algebras. Back to Kronecker does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Monogenous algebras. Back to Kronecker, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monogenous algebras. Back to Kronecker will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440140