On forbidden configuration of pseudomodular lattices

Manoj Dhake; Sachin Ballal; Vilas Kharat; Rupesh S. Shewale

Mathematica Bohemica (2025)

  • Issue: 1, page 99-108
  • ISSN: 0862-7959

Abstract

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We characterize the pseudomodular lattices by means of a forbidden configuration.

How to cite

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Dhake, Manoj, et al. "On forbidden configuration of pseudomodular lattices." Mathematica Bohemica (2025): 99-108. <http://eudml.org/doc/299887>.

@article{Dhake2025,
abstract = {We characterize the pseudomodular lattices by means of a forbidden configuration.},
author = {Dhake, Manoj, Ballal, Sachin, Kharat, Vilas, Shewale, Rupesh S.},
journal = {Mathematica Bohemica},
keywords = {forbidden configuration; pseudomodular lattice; semimodular lattice},
language = {eng},
number = {1},
pages = {99-108},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On forbidden configuration of pseudomodular lattices},
url = {http://eudml.org/doc/299887},
year = {2025},
}

TY - JOUR
AU - Dhake, Manoj
AU - Ballal, Sachin
AU - Kharat, Vilas
AU - Shewale, Rupesh S.
TI - On forbidden configuration of pseudomodular lattices
JO - Mathematica Bohemica
PY - 2025
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 99
EP - 108
AB - We characterize the pseudomodular lattices by means of a forbidden configuration.
LA - eng
KW - forbidden configuration; pseudomodular lattice; semimodular lattice
UR - http://eudml.org/doc/299887
ER -

References

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  1. Birkhoff, G., 10.1090/coll/025, Colloquium Publications 25. AMS, Providence (1967). (1967) Zbl0153.02501MR0227053DOI10.1090/coll/025
  2. Björner, A., Lovász, L., Pseudomodular lattices and continuous matroids, Acta Sci. Math. 51 (1987), 295-308. (1987) Zbl0643.05023MR0940934
  3. Dress, A., Hochstättler, W., Kern, W., 10.7146/math.scand.a-12475, Math. Scand. 74 (1994), 9-16. (1994) Zbl0810.06007MR1277784DOI10.7146/math.scand.a-12475
  4. Dress, A., Lovász, L., 10.1007/BF02579199, Combinatorica 7 (1987), 39-48. (1987) Zbl0627.05016MR0905150DOI10.1007/BF02579199
  5. Grätzer, G., 10.1007/978-3-0348-7633-9, Pure and Applied Mathematics 75. Academic Press, New York (1978). (1978) Zbl0436.06001MR0509213DOI10.1007/978-3-0348-7633-9
  6. Haskins, L., Gudder, S., 10.1016/0012-365X(72)90014-3, Discrete Math. 2 (1972), 357-382. (1972) Zbl0238.06002MR0306059DOI10.1016/0012-365X(72)90014-3
  7. Stern, M., 10.1017/CBO9780511665578, Encyclopedia of Mathematics and Its Applications 73. Cambridge University Press, Cambridge (1999). (1999) Zbl0957.06008MR1695504DOI10.1017/CBO9780511665578
  8. Teo, K. L., Diagrammatic characterizations of semimodular lattices of finite length, Southeast Asian Bull. Math. 12 (1988), 135-140. (1988) Zbl0664.06006MR0981353

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