On nuclei of sup-$\Sigma$-algebras

Document Type : Research Paper

Authors

School of Mathematical Sciences‎, ‎South China Normal‎ ‎University‎, ‎510631 Guangzhou‎, ‎China.

Abstract

‎In this paper‎, ‎algebraic investigations on sup-$\Sigma$-algebras are presented‎. ‎A representation theorem for‎ ‎sup-$\Sigma$-algebras in terms of nuclei and quotients is obtained‎. ‎Consequently‎, ‎the relationship between‎ ‎the congruence lattice of a sup-$\Sigma$-algebra and the lattice of its nuclei is fully developed.

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References

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Bulletin of the Iranian Mathematical Society
Volume 43, Issue 6
November 2017
Pages 1709-1721

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History

  • Receive Date: 20 May 2016
  • Revise Date: 21 September 2016
  • Accept Date: 06 October 2016

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