Some Divisibility Properties in Ring of Polynomials over a Unique Factorization Domain

Details Some Divisibility Properties in Ring of Polynomials over a Unique Factorization Domain Some Divisibility Properties in Ring of Polynomials over a Unique Factorization Domain

2008-06-09

arxiv.org/abs/0806.1398v1

Mathematics

Commutative Algebra

16 pages

Scientific paper

Using polynomial evaluation, we give some useful criteria to answer questions about divisibility of polynomials. This allows us to develop interesting results concerning the prime elements in the domain of coefficients. In particular, it is possible to prove that under certain conditions, the domain of coefficients must have infinitely many prime elements. We give alternative characterizations for D-rings and present various examples.

Affiliated with

Also associated with

No associations

Rating

Some Divisibility Properties in Ring of Polynomials over a Unique Factorization Domain 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 Some Divisibility Properties in Ring of Polynomials over a Unique Factorization Domain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Divisibility Properties in Ring of Polynomials over a Unique Factorization Domain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-400539