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On decompositions of a commutative semigroup
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“Theorem E. Every commutative semigroup is a semilattice of commutative archimedean semigroups.”
From Erdős-Ginzburg-Ziv theorem for finite commutative semigroups (2014) · cites this paper as [22]
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Citations
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Research works printed but not linked: 2
- [1] T. Tamura, Note on unipotent inversible semigroups, Kodai Math. Sem0 Rep0, 1954, No, 3, pp. 93-95. · doi:10.2996/kmj/1138843502
- [2] K. Nuraakura, A note on th structure of commutative semigroups, Proc. Japan Acad., Vol 30, 1954, Moo 4, pp. 262-265. · doi:10.3792/pja/1195526104
Cited by
Erdős-Ginzburg-Ziv theorem for finite commutative semigroups
Das Adhikari, S., Gao, W., & Wang, G. (2014) · Semigroup Forum · doi:10.1007/s00233-013-9544-1 · Cited by 7
Metadata
- Authors
- Tamura, T., & Kimura, N.
- Venue
- Kodai Mathematical Journal
- Published
- 1954-01-01
- Volume
- 6
- Issue
- 4
- Pages
- 109-112
- ISSN
- 0386-5991
- 1881-5472
- Cited by
- 55
- References
- 0
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: On decompositions of a commutative semigroup. https://app.cochat.ai/papers/10.2996/kmj/1138843534
- The paper
- Tamura, T., & Kimura, N. (1954). On decompositions of a commutative semigroup. Kodai Mathematical Journal. https://doi.org/10.2996/kmj/1138843534
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
