Some results on the integer-valued polynomials over matrix rings

DOI10.1080/00927872.2016.1222407zbMath1364.13017OpenAlexW2528362086MaRDI QIDQ2984991

Javad Sedighi Hafshejani, Mohammad Reza Rismanchian, Ali Reza Naghipour

Publication date: 12 May 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1222407

zbMATH Keywords

Krull dimensioninteger-valued polynomialmatrix ringequalizing idealSkolem closure

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items (7)

SOME RESULTS ON INTEGER-VALUED POLYNOMIALS OVER MODULES ⋮ Null ideals of subsets of matrix rings over fields ⋮ Integer-valued polynomials over matrix rings of number fields ⋮ Decomposition of integer-valued polynomial algebras ⋮ Integer-valued polynomials over subsets of matrix rings ⋮ Integer-valued polynomials over block matrix algebras ⋮ Integer-valued skew polynomials

Cites Work

• The ring of polynomials integral-valued over a finite set of integral elements
• Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring
• Integer-valued polynomials over quaternion rings.
• Integer valued polynomials on lower triangular integer matrices
• Integer-valued polynomials on algebras
• Integer-valued polynomials over matrices and divided differences
• Integer-Valued Polynomials
• Integral Closure of Rings of Integer-Valued Polynomials on Algebras
• Ideals of integer-valued polynomial rings
• Integer-Valued Polynomials over Matrix Rings
• Finiteness and Skolem Closure of Ideals for Non-Unibranched Domains

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