The TestIdeals package for Macaulay2

Alberto F. Boix; Daniel J. Hernández; Zhibek Kadyrsizova; Mordechai Katzman; Sara Malec; Marcus Robinson; Karl Schwede; Daniel Smolkin; Pedro Teixeira; Emily E. Witt

doi:10.2140/jsag.2019.9.89

The TestIdeals package for Macaulay2

Alberto F. Boix, Daniel J. Hernández, Zhibek Kadyrsizova, Mordechai Katzman, Sara Malec, Marcus Robinson, Karl Schwede, Daniel Smolkin, Pedro Teixeira, Emily E. Witt

Department of Mathematics

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

4 Scopus citations

Abstract

We describe a Macaulay2 package for computations in prime characteristic commutative algebra. This includes those for Frobenius powers and roots, p^−e-linear and p^e-linear maps, singularities defined in terms of these maps, different types of test ideals and modules, and ideals compatible with a given p^−e-linear map.

Original language	English
Pages (from-to)	89-110
Number of pages	22
Journal	Journal of Software for Algebra and Geometry
Volume	9
Issue number	2
DOIs	https://doi.org/10.2140/jsag.2019.9.89
State	Published - 1 Jan 2019

Keywords

F-injective
F-pure
F-rational
F-regular
Frobenius root
Macaulay2
Test ideals
compatibly split ideals. TestIdeals version 1.01

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Discrete Mathematics and Combinatorics
Geometry and Topology

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10.2140/jsag.2019.9.89

Cite this

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title = "The TestIdeals package for Macaulay2",

abstract = "We describe a Macaulay2 package for computations in prime characteristic commutative algebra. This includes those for Frobenius powers and roots, p−e-linear and pe-linear maps, singularities defined in terms of these maps, different types of test ideals and modules, and ideals compatible with a given p−e-linear map.",

keywords = "F-injective, F-pure, F-rational, F-regular, Frobenius root, Macaulay2, Test ideals, compatibly split ideals. TestIdeals version 1.01",

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year = "2019",

month = jan,

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doi = "10.2140/jsag.2019.9.89",

language = "English",

volume = "9",

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AU - Boix, Alberto F.

AU - Hernández, Daniel J.

AU - Kadyrsizova, Zhibek

AU - Katzman, Mordechai

AU - Malec, Sara

AU - Robinson, Marcus

AU - Schwede, Karl

AU - Smolkin, Daniel

AU - Teixeira, Pedro

AU - Witt, Emily E.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We describe a Macaulay2 package for computations in prime characteristic commutative algebra. This includes those for Frobenius powers and roots, p−e-linear and pe-linear maps, singularities defined in terms of these maps, different types of test ideals and modules, and ideals compatible with a given p−e-linear map.

AB - We describe a Macaulay2 package for computations in prime characteristic commutative algebra. This includes those for Frobenius powers and roots, p−e-linear and pe-linear maps, singularities defined in terms of these maps, different types of test ideals and modules, and ideals compatible with a given p−e-linear map.

KW - F-injective

KW - F-pure

KW - F-rational

KW - F-regular

KW - Frobenius root

KW - Macaulay2

KW - Test ideals

KW - compatibly split ideals. TestIdeals version 1.01

UR - https://www.scopus.com/pages/publications/85077033482

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DO - 10.2140/jsag.2019.9.89

M3 - Article

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JO - Journal of Software for Algebra and Geometry

JF - Journal of Software for Algebra and Geometry

IS - 2

ER -

The TestIdeals package for Macaulay2

Abstract

Keywords

ASJC Scopus subject areas

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