Rings: an efficient Java/Scala library for polynomial rings

In this paper we briefly discuss \Rings --- an efficient lightweight library for commutative algebra. Polynomial arithmetic, GCDs, polynomial factorization and Gr\"obner bases are implemented with the use of modern asymptotically fast algorithms. \Rings can be easily interacted or embedded in a...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org
Main Author: Poslavsky, Stanislav
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 21.09.2018
Subjects:
Algebra
Algorithms
Functional programming
Java
Polynomials
Rings (mathematics)
ISSN:2331-8422
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract In this paper we briefly discuss \Rings --- an efficient lightweight library for commutative algebra. Polynomial arithmetic, GCDs, polynomial factorization and Gr\"obner bases are implemented with the use of modern asymptotically fast algorithms. \Rings can be easily interacted or embedded in applications in high-energy physics and other research areas via a simple API with fully typed hierarchy of algebraic structures and algorithms for commutative algebra. The use of the Scala language brings a quite novel powerful, strongly typed functional programming model allowing to write short, expressive, and fast code for applications. At the same time Rings shows one of the best performances among existing software for algebraic calculations. \Rings is available from http://github.com/PoslavskySV/rings
AbstractList In this paper we briefly discuss \Rings --- an efficient lightweight library for commutative algebra. Polynomial arithmetic, GCDs, polynomial factorization and Gr\"obner bases are implemented with the use of modern asymptotically fast algorithms. \Rings can be easily interacted or embedded in applications in high-energy physics and other research areas via a simple API with fully typed hierarchy of algebraic structures and algorithms for commutative algebra. The use of the Scala language brings a quite novel powerful, strongly typed functional programming model allowing to write short, expressive, and fast code for applications. At the same time Rings shows one of the best performances among existing software for algebraic calculations. \Rings is available from http://github.com/PoslavskySV/rings
Author Poslavsky, Stanislav
Author_xml – sequence: 1
  givenname: Stanislav
  surname: Poslavsky
  fullname: Poslavsky, Stanislav
BookMark eNotjc1KAzEYAIMoWGsfwFvA826TL_96kmK1pSBo7-Xb3URS1qRm22LfXkVPc5qZK3KecvKE3HBWS6sUm2L5iseaGw41AwHujIxACF5ZCXBJJsOwZYyBNqCUGJH715jehzuKifoQYht92tMlHnH61mKPtI9NwXKiIRe6y_0p5Y-IPS2_1jW5CNgPfvLPMVnPH9ez52r18rSYPawqVKAr6TGA7Uxw3HQAIgQPjQHJpfNWBe1AYuMlWias7boAzDHNdXAI3HWtFGNy-5fdlfx58MN-s82Hkn6OG2BGW-u40-IbJ5FKEw
ContentType Paper
Copyright 2018. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2018. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID 8FE
8FG
ABJCF
ABUWG
AFKRA
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
HCIFZ
L6V
M7S
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
DOI 10.48550/arxiv.1712.02329
DatabaseName ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central
ProQuest Central UK/Ireland
ProQuest Central Essentials
ProQuest Central
ProQuest Technology Collection
ProQuest One
ProQuest Central Korea
SciTech Collection (ProQuest)
ProQuest Engineering Collection
Engineering Database
ProQuest Central Premium
ProQuest One Academic (New)
Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
DatabaseTitle Publicly Available Content Database
Engineering Database
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central China
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ProQuest One Academic UKI Edition
ProQuest Central Korea
Materials Science & Engineering Collection
ProQuest Central (New)
ProQuest One Academic
ProQuest One Academic (New)
Engineering Collection
DatabaseTitleList Publicly Available Content Database
Database_xml – sequence: 1
  dbid: PIMPY
  name: Publicly Available Content Database
  url: http://search.proquest.com/publiccontent
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 2331-8422
Genre Working Paper/Pre-Print
GroupedDBID 8FE
8FG
ABJCF
ABUWG
AFKRA
ALMA_UNASSIGNED_HOLDINGS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
FRJ
HCIFZ
L6V
M7S
M~E
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
ID FETCH-LOGICAL-a526-4eaf28d7f917d223ffe2b724149e85f6924abe4a80388ddf2090616f9a219dc43
IEDL.DBID BENPR
IngestDate Mon Jun 30 08:31:16 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-a526-4eaf28d7f917d223ffe2b724149e85f6924abe4a80388ddf2090616f9a219dc43
Notes SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
OpenAccessLink https://www.proquest.com/docview/2076889196?pq-origsite=%requestingapplication%
PQID 2076889196
PQPubID 2050157
ParticipantIDs proquest_journals_2076889196
PublicationCentury 2000
PublicationDate 20180921
PublicationDateYYYYMMDD 2018-09-21
PublicationDate_xml – month: 09
  year: 2018
  text: 20180921
  day: 21
PublicationDecade 2010
PublicationPlace Ithaca
PublicationPlace_xml – name: Ithaca
PublicationTitle arXiv.org
PublicationYear 2018
Publisher Cornell University Library, arXiv.org
Publisher_xml – name: Cornell University Library, arXiv.org
SSID ssj0002672553
Score 1.6666625
SecondaryResourceType preprint
Snippet In this paper we briefly discuss \Rings --- an efficient lightweight library for commutative algebra. Polynomial arithmetic, GCDs, polynomial factorization and...
SourceID proquest
SourceType Aggregation Database
SubjectTerms Algebra
Algorithms
Functional programming
Java
Polynomials
Rings (mathematics)
Title Rings: an efficient Java/Scala library for polynomial rings
URI https://www.proquest.com/docview/2076889196
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1NS8NAEF20VfDkN37Usgeva9vNJpvoQVBaVLSEtkg9lcl-QKGkMalF_72zMdWD4MXjksuyO8ybeTt5j5Bz43uBZ3TCdKA8JpTiLBGJ77QIlQTr2bB0a3h-lP1-OB5HcUW4FdVY5Sonlolaz5XjyB0TEoRhhAFznb0y5xrlXlcrC411UndKZRjn9ZtuPx58syw8kFgze1_PmaV4Vwvy9-nyoiMdCYjlRPQrCZfI0tv-7552SD2GzOS7ZM2ke2SznOhUxT65GjgO_JJCSk0pE4HoQh9gCa0hXgvQir6hWLTSbD77cL8nw4w6mq84IKNed3R7xyqnBAY-D5gwYHmopcXeSyPeW2t4IhGbRWRC3wbYY0FiBIRO-kVry9sRwnhgI8B8pZXwDkktnafmiFA_MbqtRNRJPCyUjA8SGygJ2Gc5p0nTPiaN1VFMqmgvJj_ncPL351OyhQVHOW_BOw1SW-Rv5oxsqOViWuTN6vKabv5yiKv4_il--QRRiaa7
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1JT8JAFH5R0OjJPS6oc9BjpUx3jfGgEpAlRInBE5nOkpCQgi2i_Cj_o29KqwcTbxw8N2naN9-85Zs37wM4k47lWlKEhnC5ZdicUyO0Q0fPIuQeU5byU7WG56bXbvu9XtBZgs_8Loxuq8x9YuqoxYhrjlwzIa7vBwiYm_GroVWj9OlqLqExh0VDzt6xZEuu63e4vueUVu-7tzUjUxUwmENdw5ZMUV94CusUgbFRKUlDD-OYHUjfUS7WIyyUNvP1mBQhFDUDDHmuChjubcFtC1-7DEUbsW4WoNiptzov36QOdT1M0a356Wk6K6zM4o_B9KLiac4Rs5fgl89PA1l145-ZYBN_nY1lvAVLMtqG1bRflSc7cPWoGf5LwiIi0yEYGDvJA5uy8hOCjpGMnCKYkpPxaDjTl6_ZkGgSM9mF7iI-dw8K0SiS-0CcUAqT20EltDANlA7zsDz0GFaRWkdTmgdQyi3fz_Zy0v8x--Hfj09hrdZtNfvNertxBOuYWqWdJbRSgsIkfpPHsMKnk0ESn2S4IdBf8DJ9ARY0_yM
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Rings%3A+an+efficient+Java%2FScala+library+for+polynomial+rings&rft.jtitle=arXiv.org&rft.au=Poslavsky%2C+Stanislav&rft.date=2018-09-21&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422&rft_id=info:doi/10.48550%2Farxiv.1712.02329