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The graphs of semirings. II

Authors: J. S. Ratti and Y.-F. Lin
Journal: Proc. Amer. Math. Soc. 30 (1971), 473-478
MSC: Primary 16.96; Secondary 05.00
MathSciNet review: 0289584
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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 [Enhancements On Off] (What's this?)

  • [1] Y.-F. Lin and J. S. Ratti, The graphs of semirings, J. Algebra 14 (1970), 73-82. MR 0268229 (42:3128)
  • [2] -, Connectivity of the graphs of semirings: lifting and product, Proc. Amer. Math. Soc. 24 (1970), 411-414. MR 0274534 (43:297)
  • [3] George E. Forsythe, SWAC computes 126 distinct semigroups of order 4, Proc. Amer. Math. Soc. 6 (1955), 443-447. MR 16, 1085. MR 0069814 (16:1085d)
  • [4] J. S. Ratti and Y.-F. Lin, The diameters of the graphs of semirings, J. Austral. Math. Soc. 11 (1970), 433-440. MR 0285572 (44:2790)

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Keywords: Semiring, graph, connectivity of a graph, diameter of a graph, left unital semiring, cancellative semiring, disconnected graphs
Article copyright: © Copyright 1971 American Mathematical Society

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