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Communications in Algebra Volume 40, 2012 - Issue 12
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Original Articles

Integer-Valued Polynomials over Matrix Rings

Nicholas J. Werner Department of Mathematics, University of Evansville, Evansville, Indiana, USACorrespondence[email protected]
Pages 4717-4726 | Received 03 May 2011, Published online: 10 Oct 2012

Citations (20)

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Read on this site (4)

Antonio Cigliola, Dario Spirito & Francesca Tartarone. (2021) Multiplicative properties of integer valued polynomials over split-quaternions. Communications in Algebra 49:3, pages 1338-1351.
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J. Sedighi Hafshejani, A. R. Naghipour & A. Sakzad. (2019) Integer-valued polynomials over subsets of matrix rings. Communications in Algebra 47:3, pages 1077-1090.
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A. R. Naghipour, M. R. Rismanchian & J. Sedighi Hafshejani. (2017) Some results on the integer-valued polynomials over matrix rings. Communications in Algebra 45:4, pages 1675-1686.
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A. Cigliola, K.A. Loper & N.J. Werner. (2015) Split Quaternions and Integer-valued Polynomials. Communications in Algebra 43:1, pages 182-196.
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Articles from other publishers (16)

Armen G. Bagdasaryan. 2024. Recent Developments in Algebra and Analysis. Recent Developments in Algebra and Analysis 215 223 .
Angelot Behajaina. (2022) A note on integer-valued skew polynomials. Journal of Algebra and Its Applications 22:08.
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Nicholas J. Werner. (2022) Null ideals of subsets of matrix rings over fields. Linear Algebra and its Applications 642, pages 50-72.
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Javad Sedighi Hafshejani & Ali Reza Naghipour. (2020) Integer-valued Polynomials Over Matrix Rings of Number Fields. Bulletin of the Iranian Mathematical Society 47:6, pages 2005-2013.
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Nicholas J. Werner. (2020) Integer-valued skew polynomials. Journal of Algebra and Its Applications 20:07, pages 2150114.
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J. Sedighi Hafshejani, A. R. Naghipour & M. R. Rismanchian. (2019) Integer-valued polynomials over block matrix algebras. Journal of Algebra and Its Applications 19:03, pages 2050053.
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Devendra Prasad, Krishnan Rajkumar & A. Satyanarayana Reddy. (2019) A Survey on Fixed Divisors. Confluentes Mathematici 11:1, pages 29-52.
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Giulio Peruginelli & Nicholas J. Werner. (2018) Decomposition of integer-valued polynomial algebras. Journal of Pure and Applied Algebra 222:9, pages 2562-2579.
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Sophie Frisch. (2018) Polynomial functions on subsets of non-commutative rings — a link between ringsets and null-ideal sets. ITM Web of Conferences 20, pages 01003.
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Sophie Frisch. (2016) Polynomial functions on upper triangular matrix algebras. Monatshefte für Mathematik 184:2, pages 201-215.
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Nicholas J. Werner. 2017. Rings, Polynomials, and Modules. Rings, Polynomials, and Modules 353 375 .
Nicholas J. Werner. (2014) Int-decomposable algebras. Journal of Pure and Applied Algebra 218:10, pages 1806-1819.
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NICHOLAS J. WERNER. (2013) POLYNOMIALS THAT KILL EACH ELEMENT OF A FINITE RING. Journal of Algebra and Its Applications 13:03, pages 1350111.
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Jean-Luc Chabert. 2014. Commutative Algebra. Commutative Algebra 83 111 .
Paul-Jean Cahen, Marco Fontana, Sophie Frisch & Sarah Glaz. 2014. Commutative Algebra. Commutative Algebra 353 375 .
Sophie Frisch. (2013) Integer-valued polynomials on algebras. Journal of Algebra 373, pages 414-425.
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