Journal article
A structure theorem for streamed information
- Abstract:
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We identify the free half shuffle algebra of Schützenberger [31] with an algebra of real-valued functionals on paths, where the half shuffle emulates the integration of a functional against another. We then provide two, to our knowledge, new identities in arity 3 involving its commutator (area), and show that these are sufficient to recover the Zinbiel and Tortkara identities introduced by Dzhumadil'daev [11]. We then use these identities to provide a simple p...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 516.1KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jalgebra.2023.07.024
Authors
Funding
Bibliographic Details
- Publisher:
- Elsevier
- Journal:
- Journal of Algebra More from this journal
- Volume:
- 634
- Pages:
- 911-938
- Publication date:
- 2023-08-03
- Acceptance date:
- 2023-08-03
- DOI:
- EISSN:
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1090-266X
- ISSN:
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0021-8693
Item Description
- Language:
-
English
- Keywords:
- Pubs id:
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1509926
- Local pid:
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pubs:1509926
- Deposit date:
-
2023-08-16
Terms of use
- Copyright holder:
- Salvi et al.
- Copyright date:
- 2023
- Rights statement:
- © 2023 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
- Licence:
- CC Attribution (CC BY)
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