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

3 Citations (Scopus)

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
DOIs	https://doi.org/10.2140/jsag.2019.9.89
Publication status	Published - Oct 16 2019

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10.2140/jsag.2019.9.89

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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 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.",

author = "Boix, {Alberto F.} and Hern{\'a}ndez, {Daniel J.} and Zhibek Kadyrsizova and Mordechai Katzman and Sara Malec and Marcus Robinson and Karl Schwede and Daniel Smolkin and Pedro Teixeira and Witt, {Emily E.}",

year = "2019",

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doi = "10.2140/jsag.2019.9.89",

language = "English",

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T1 - The TestIdeals package for Macaulay2

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 - 2019/10/16

Y1 - 2019/10/16

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 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.

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 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.

U2 - 10.2140/jsag.2019.9.89

DO - 10.2140/jsag.2019.9.89

M3 - Article

SN - 1948-7916

VL - 9

SP - 89

EP - 110

JO - Journal of Software for Algebra and Geometry

JF - Journal of Software for Algebra and Geometry

ER -

The TestIdeals package for Macaulay2

Abstract

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