Equational Theory of Ordinals with Addition and Left Multiplication by ω.
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| Title: | Equational Theory of Ordinals with Addition and Left Multiplication by ω. |
|---|---|
| Authors: | Choffrut, Christian1 |
| Source: | Fundamenta Informaticae. 2025, Vol. 194 Issue 1, p1-11. 11p. |
| Subjects: | Ordinal numbers, Addition (Mathematics), Multiplication, Mathematical logic, Algebraic field theory |
| Abstract: | We show that the equational theory of the structure (ωω : (x, y) 7→ x+y, x 7→ ωx) is finitely axiomatizable and give a simple axiom schema when the domain is the set of transfinite ordinals. [ABSTRACT FROM AUTHOR] |
| Copyright of Fundamenta Informaticae is the property of Polskie Towarzystwo Matematyczne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 188919467 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.46298/fi.13734 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 1 Subjects: – SubjectFull: Ordinal numbers Type: general – SubjectFull: Addition (Mathematics) Type: general – SubjectFull: Multiplication Type: general – SubjectFull: Mathematical logic Type: general – SubjectFull: Algebraic field theory Type: general Titles: – TitleFull: Equational Theory of Ordinals with Addition and Left Multiplication by ω. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Choffrut, Christian IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: 2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 01692968 Numbering: – Type: volume Value: 194 – Type: issue Value: 1 Titles: – TitleFull: Fundamenta Informaticae Type: main |
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