Results 121 to 130 of about 59,442 (147)

Split Quaternions and Integer-valued Polynomials

Communications in Algebra, 2014
The integer split quaternions form a noncommutative algebra over ℤ. We describe the prime and maximal spectrum of the integer split quaternions and investigate integer-valued polynomials over this ring. We prove that the set of such polynomials forms a ring, and proceed to study its prime and maximal ideals.
A. Cigliola, K. A. Loper, N. J. Werner
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A Polynomial Taking Integer Values

Mathematics Magazine, 1996
In [2] Sury proves that for integers a, >j 2 1(ai aj) (i-j) is also an integer. (The result follows immediately from the theory of Lie groups; the number turns out to be the dimension of an irreducible representation of SU(n).) Sury gives an elementalry but indirect proof, based on the stronger result that H__ 2 i > j 2 (X1i-ai 1) (Xe-j 1) E Z[ X ...
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Integer-Valued Polynomials over Matrix Rings

Communications in Algebra, 2012
When D is a commutative integral domain with field of fractions K, the ring Int(D) = {f ∈ K[x] | f(D) ⊆ D} of integer-valued polynomials over D is well-understood. This article considers the construction of integer-valued polynomials over matrix rings with entries in an integral domain.
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Prüfer Domains of Integer-Valued Polynomials

2016
Let D be an integral domain with quotient field K. The ring \(\mathrm {Int}(D) = \{f(x) \ \Vert \ f(D) \subseteq D \}\) has been studied as a ring for more than forty years. A major topic of interest during that time has been the question of when the construction yields a Prufer domain.
K. Alan Loper, Mark Syvuk
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Integer-Valued Polynomials

1996
Paul-Jean Cahen, Jean-Luc Chabert
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Integer Polynomials with Prescribed Integer Values

Mathematics Magazine, 1973
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Irreducibility of integer-valued polynomials I

Communications in Algebra, 2021
Devendra Prasad
exaly  

Non-absolutely irreducible elements in the ring of integer-valued polynomials

Communications in Algebra, 2020
Sarah Nakato
exaly  

Bases of Integer-Valued Polynomials

2023
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Localizations of integer‐valued polynomials and of their Picard group

Mathematische Nachrichten, 2023
Dario Spirito
exaly