{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:55:26Z","timestamp":1750308926704,"version":"3.41.0"},"reference-count":6,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[1984,8,1]],"date-time":"1984-08-01T00:00:00Z","timestamp":460166400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGSAM Bull."],"published-print":{"date-parts":[[1984,8]]},"abstract":"<jats:p>A brief description and examples of using a program package for handling non-commutative variables in the REDUCE-2 system are presented. The package facilitates work with arbitrary commutation rules. The user may declare operators, variables, and procedures to be non-commutative, and introduce the rules for their rearrangement. Tools are included for reducing delta functions and Kronecker symbols in expressions involving non-commutative variables. During calculation, expressions are rearranged according to the rules introduced by the user, and similar terms are grouped together with explicit singling out of the non-commutative part.<\/jats:p>","DOI":"10.1145\/1089389.1089394","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"16-19","update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Work with non-commutative variables in the reduce-2 system for analytical calculations"],"prefix":"10.1145","volume":"18","author":[{"given":"A. Ya.","family":"Rodionov","sequence":"first","affiliation":[{"name":"Moscow State University, Moscow, USSR"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[1984,8]]},"reference":[{"key":"e_1_2_1_1_1","unstructured":"Hearn A. C.: REDUCE-2 User's Manual UCP-19(1974).  Hearn A. C.: REDUCE-2 User's Manual UCP-19(1974)."},{"key":"e_1_2_1_2_1","first-page":"20","author":"Grimm R.","year":"1980","journal-title":"Comp. Phys. Comm."},{"key":"e_1_2_1_3_1","unstructured":"Lassner W.: Noncommutative algebras proposed for computer calculations in book: International Conference on Systems and Techniques of Analytical Computing and Their Applications in Theoretical Physics. Dubna September 18--21 1979.  Lassner W.: Noncommutative algebras proposed for computer calculations in book: International Conference on Systems and Techniques of Analytical Computing and Their Applications in Theoretical Physics. Dubna September 18--21 1979."},{"volume-title":"LGU","year":"1976","author":"Vasilyev A. N.","key":"e_1_2_1_4_1"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4655(81)90034-5"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.50.561"}],"container-title":["ACM SIGSAM Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/dl.acm.org\/doi\/10.1145\/1089389.1089394","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/dl.acm.org\/doi\/pdf\/10.1145\/1089389.1089394","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T21:36:45Z","timestamp":1750282605000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/dl.acm.org\/doi\/10.1145\/1089389.1089394"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1984,8]]},"references-count":6,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1984,8]]}},"alternative-id":["10.1145\/1089389.1089394"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1145\/1089389.1089394","relation":{},"ISSN":["0163-5824"],"issn-type":[{"type":"print","value":"0163-5824"}],"subject":[],"published":{"date-parts":[[1984,8]]},"assertion":[{"value":"1984-08-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}