The graphs of semirings. II
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- by J. S. Ratti and Y.-F. Lin PDF
- Proc. Amer. Math. Soc. 30 (1971), 473-478 Request permission
Abstract:
In this paper the authors continue their investigation of the connectivity of the graphs of semirings. We give some sufficient conditions under which the graph of a semiring is connected. The paper also contains some open problems.References
- Y.-F. Lin and J. S. Ratti, The graphs of semirings, J. Algebra 14 (1970), 73–82. MR 268229, DOI 10.1016/0021-8693(70)90134-1
- Y.-F. Lin and J. S. Ratti, Connectivity of the graphs of semirings: Lifting and product, Proc. Amer. Math. Soc. 24 (1970), 411–414. MR 274534, DOI 10.1090/S0002-9939-1970-0274534-8
- George E. Forsythe, SWAC computes $126$ distinct semigroups of order $4$, Proc. Amer. Math. Soc. 6 (1955), 443–447. MR 69814, DOI 10.1090/S0002-9939-1955-0069814-7
- J. S. Ratti and Y.-F. Lin, The diameters of the graphs of semirings, J. Austral. Math. Soc. 11 (1970), 433–440. MR 0285572
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 473-478
- MSC: Primary 16.96; Secondary 05.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0289584-6
- MathSciNet review: 0289584