On the Splitting Ring of a Polynomial

DOI10.1080/00927872.2015.1130137zbMath1349.16033arXiv1504.00973OpenAlexW2963480880MaRDI QIDQ2826104

Fernando Szechtman

Publication date: 7 October 2016

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

Full work available at URL: https://arxiv.org/abs/1504.00973

zbMATH Keywords

regular representationelementary symmetric functionssplitting ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Polynomials over commutative rings (13B25) Computational aspects of associative rings (general theory) (16Z05) Centralizing and normalizing extensions (16S20)

Cites Work

• On a notion of ``Galois closure for extensions of rings
• Subalgebras of matrix algebras generated by companion matrices.
• A closed formula for the product in simple integral extensions
• Splitting ring of a monic separable polynomial
• Commutative Rings with Operators (Galois Theory and Ramification)
• SPLITTING ALGEBRAS, SYMMETRIC FUNCTIONS AND GALOIS THEORY

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