Publication:
Some divisibility properties in rings of polynomials over a unique factorization domain
Some divisibility properties in rings of polynomials over a unique factorization domain
dc.contributor.advisor | Cáceres, Luis F. | |
dc.contributor.author | Vélez, José A. | |
dc.contributor.college | College of Arts and Sciences - Sciences | en_US |
dc.contributor.committee | Castellini, Gabriele | |
dc.contributor.committee | Walker-Ramos, Uroyoán | |
dc.contributor.department | Department of Mathematics | en_US |
dc.contributor.representative | Rivera, Wilson | |
dc.date.accessioned | 2019-04-15T15:50:43Z | |
dc.date.available | 2019-04-15T15:50:43Z | |
dc.date.issued | 2005 | |
dc.description.abstract | 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 of the polynomial. 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. | en_US |
dc.description.abstract | Usando evaluación en polinomios, damos algunos criterios útiles para responder preguntas sobre divisibilidad de polinomios. Esto también permite desarrollar algunos resultados interesantes acerca de los elementos primos del dominio de coeficientes. En particular, es posible demostrar (bajo ciertas condiciones) que el dominio de coeficientes debe tener infinitos elementos primos. Damos también caracterizaciones alternativas de D-anillos y presentamos varios ejemplos. | en_US |
dc.description.graduationYear | 2005 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.11801/2002 | |
dc.language.iso | English | en_US |
dc.rights.holder | (c) 2005 José A. Vélez | en_US |
dc.rights.license | All rights reserved | en_US |
dc.subject | Divisibility properties in ring of polynomials | en_US |
dc.subject | Unique factorization domain | en_US |
dc.subject | Infinite primes property | en_US |
dc.subject | D-rings | en_US |
dc.title | Some divisibility properties in rings of polynomials over a unique factorization domain | en_US |
dc.type | Thesis | en_US |
dspace.entity.type | Publication | |
thesis.degree.discipline | Pure Mathematics | en_US |
thesis.degree.level | M.S. | en_US |
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