Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

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
DOI: https://doi.org/10.1090/S0002-9939-1971-0289584-6
MathSciNet review: 0289584
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16.96, 05.00

Retrieve articles in all journals with MSC: 16.96, 05.00


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0289584-6
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

American Mathematical Society