Irreducibility and embedding problems

Lior Bary-Soroker

doi:10.1016/j.jalgebra.2012.01.024

Irreducibility and embedding problems

Research output: Contribution to journal › Article › peer-review

Abstract

We study irreducible specializations, in particular when group-preserving specializations may not exist. We obtain a criterion in terms of embedding problems. We include several applications to analogs of Schinzel's hypothesis H and to the theory of Hilbertian fields.

Original language	English
Pages (from-to)	26-33
Number of pages	8
Journal	Journal of Algebra
Volume	357
DOIs	https://doi.org/10.1016/j.jalgebra.2012.01.024
State	Published - 1 May 2012
Externally published	Yes

Keywords

Embedding problems
Irreducible specializations
Pseudo algebraically closed extensions

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2012.01.024

Cite this

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title = "Irreducibility and embedding problems",

abstract = "We study irreducible specializations, in particular when group-preserving specializations may not exist. We obtain a criterion in terms of embedding problems. We include several applications to analogs of Schinzel's hypothesis H and to the theory of Hilbertian fields.",

keywords = "Embedding problems, Irreducible specializations, Pseudo algebraically closed extensions",

author = "Lior Bary-Soroker",

note = "Funding Information: The author wish to thank Moshe Jarden for many helpful remarks that improved the presentation of this paper. The author was partially supported by the Lion foundation.",

year = "2012",

month = may,

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doi = "10.1016/j.jalgebra.2012.01.024",

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AU - Bary-Soroker, Lior

N1 - Funding Information: The author wish to thank Moshe Jarden for many helpful remarks that improved the presentation of this paper. The author was partially supported by the Lion foundation.

PY - 2012/5/1

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N2 - We study irreducible specializations, in particular when group-preserving specializations may not exist. We obtain a criterion in terms of embedding problems. We include several applications to analogs of Schinzel's hypothesis H and to the theory of Hilbertian fields.

AB - We study irreducible specializations, in particular when group-preserving specializations may not exist. We obtain a criterion in terms of embedding problems. We include several applications to analogs of Schinzel's hypothesis H and to the theory of Hilbertian fields.

KW - Embedding problems

KW - Irreducible specializations

KW - Pseudo algebraically closed extensions

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U2 - 10.1016/j.jalgebra.2012.01.024

DO - 10.1016/j.jalgebra.2012.01.024

M3 - مقالة

SN - 0021-8693

VL - 357

SP - 26

EP - 33

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Irreducibility and embedding problems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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