On the effect of doubling of intervals on the 0-distributive property of the lattice of weak congruences of chains

Authors

  • V Gladys Mano Amirtha Reg. No.: 20111172092013, Ph.D. Research Scholar (Full time), PG and Research Department of Mathematics, (Rani Anna Government College for Women, Tirunelveli-627008, Affiliated to ManonmaniamSundaranar University, Abishekapatti, Tirunelveli-627012, Tamil Nadu, India
  • Premalatha D. Associate Professor, PG and Research Department of Mathematics, (Rani Anna Government College for Women, Tirunelveli-627008, Affiliated to ManonmaniamSundaranar University, Abishekapatti, Tirunelveli-627012, Tamil Nadu, India.)

DOI:

https://doi.org/10.23755/rm.v44i0.888

Keywords:

doubling construction in lattices, weak congruence lattices, 0-distributive lattices.

Abstract

Alan Day’s doubling construction of intervals has been found to affect some properties of the lattice of weak congruences of chains. Here, in this paper, we study how it affects the property of 0-distributivity of the lattice of weak congruences of chains.

Alan Day’s doubling construction of intervals has been found to affect some properties of the lattice of weak congruences of chains. Here, in this paper, we study how it affects the property of 0-distributivity of the lattice of weak congruences of chains.

References

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Published

2022-12-11