SONATA: a GAP tool for nearring computations

Erhard Aichinger; Rika Yatchak

doi:10.1145/3015306.3015310

SONATA: a GAP tool for nearring computations

Erhard Aichinger
, Rika Yatchak

Institute for Algebra

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

A nearring N is an algera that does not satisfy the ring axioms, but nevertheless satisfies a one-sided distributivity law. SONATA is a GAP package designed as a research tool for nearrings. Users are able to define and work with finite nearrings in order to generate and test conjectures.

Original language	English
Title of host publication	ACM Communications in Computer Algebra
Pages	89-92
Number of pages	4
Volume	50
DOIs	https://doi.org/10.1145/3015306.3015310
Publication status	Published - Sept 2016

Publication series

Name	Issue 197

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101013 Mathematical logic
102031 Theoretical computer science

JKU Focus areas

Computation in Informatics and Mathematics
Engineering and Natural Sciences (in general)

Access to Document

10.1145/3015306.3015310

Cite this

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abstract = "A nearring N is an algera that does not satisfy the ring axioms, but nevertheless satisfies a one-sided distributivity law. SONATA is a GAP package designed as a research tool for nearrings. Users are able to define and work with finite nearrings in order to generate and test conjectures.",

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language = "English",

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series = "Issue 197",

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AU - Yatchak, Rika

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AB - A nearring N is an algera that does not satisfy the ring axioms, but nevertheless satisfies a one-sided distributivity law. SONATA is a GAP package designed as a research tool for nearrings. Users are able to define and work with finite nearrings in order to generate and test conjectures.

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U2 - 10.1145/3015306.3015310

DO - 10.1145/3015306.3015310

M3 - Conference proceedings

VL - 50

T3 - Issue 197

SP - 89

EP - 92

BT - ACM Communications in Computer Algebra

ER -

SONATA: a GAP tool for nearring computations

Abstract

Publication series

Fields of science

JKU Focus areas

Access to Document

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Cite this