Integral Closure of Rings of Integer-Valued Polynomials on Algebras
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Publication:2949008
DOI10.1007/978-1-4939-0925-4_17zbMath1327.13035arXiv1401.4438OpenAlexW51569135MaRDI QIDQ2949008
Giulio Peruginelli, Nicholas J. Werner
Publication date: 7 October 2015
Published in: Commutative Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.4438
Integral closure of commutative rings and ideals (13B22) Polynomials over commutative rings (13B25) Matrices, determinants in number theory (11C20)
Related Items (14)
SOME RESULTS ON INTEGER-VALUED POLYNOMIALS OVER MODULES ⋮ Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring ⋮ Galois structure on integral valued polynomials ⋮ Algebraic-integer valued polynomials ⋮ Open Problems in Commutative Ring Theory ⋮ Some results on the integer-valued polynomials over matrix rings ⋮ Integer-Valued Polynomials on Algebras: A Survey of Recent Results and Open Questions ⋮ Decomposition of integer-valued polynomial algebras ⋮ Non-triviality conditions for integer-valued polynomial rings on algebras ⋮ A survey on fixed divisors ⋮ Multiplicative properties of integer valued polynomials over split-quaternions ⋮ Null ideals of matrices over residue class rings of principal ideal domains ⋮ Polynomial overrings of \(\mathrm{Int}(\mathbb Z)\) ⋮ The ring of polynomials integral-valued over a finite set of integral elements
Cites Work
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- Generalized rings of integer-valued polynomials
- Integer valued polynomials on lower triangular integer matrices
- Integer-valued polynomials on algebras
- Integer-valued polynomials over matrices and divided differences
- Integral-valued polynomials over sets of algebraic integers of bounded degree
- Integer-Valued Polynomials
- The Noetherian Property in Rings of Integer-Valued Polynomials
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