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On the Toroidal Comaximal Graph of Lattices

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In this paper, we study the toroidality of the comaximal graphs of a finite lattice.

Abstract

In this paper, we study the toroidality of the comaximal graphs of a finite lattice.

참고문헌 (12)

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  5. H. R. Maimani, "Comaximal graph of commu-tative rings", J. Algebra, 319, pp.1801~1808 (2008)
  6. W. Massey, "Algebraic topology: an introduction" (1967), Harcourt, Brace & World
  7. J. B. Nation, "Notes on lattice theory" (1998), Cambridge University Press
  8. G. Ringel, "Map color theorem" (1974), Springer-Verlag
  9. P. K. Sharma, "A note on graphical representation of rings", J. Algebra, 176, pp.124~127 (1995)
  10. H. J. Wang, "Graphs associated to co-maximal ideals of commutative rings", J. Algebra, 320, pp.2917~2933 (2008)
  11. H. J. Wang, "Co-maximal graph of non-commutative rings", Linear Algebra Appl, 430, pp.633~641 (2009)
  12. D. Zeps, "Forbidden minors for projective plane are free-toroidal or non-toroidal" (2009)

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