Multipliers on a nearlattice

Abu Saleh Abdun Noor; William H. Cornish

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 4, page 815-827
  • ISSN: 0010-2628

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Noor, Abu Saleh Abdun, and Cornish, William H.. "Multipliers on a nearlattice." Commentationes Mathematicae Universitatis Carolinae 027.4 (1986): 815-827. <http://eudml.org/doc/17506>.

@article{Noor1986,
author = {Noor, Abu Saleh Abdun, Cornish, William H.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {generalized lattices; lower semilattice; nearlattice; direct summands; standard ideals; ideal lattice; multipliers; direct decomposition},
language = {eng},
number = {4},
pages = {815-827},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Multipliers on a nearlattice},
url = {http://eudml.org/doc/17506},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Noor, Abu Saleh Abdun
AU - Cornish, William H.
TI - Multipliers on a nearlattice
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 4
SP - 815
EP - 827
LA - eng
KW - generalized lattices; lower semilattice; nearlattice; direct summands; standard ideals; ideal lattice; multipliers; direct decomposition
UR - http://eudml.org/doc/17506
ER -

References

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  1. W. H. Cornish, The multiplier extension of a distributive lattice, J. Algebra 32 (1974), 339 - 355. (1974) Zbl0318.06016MR0357260
  2. W. H. Cornish R. C. Hickman, Weakly distributive semilattices, Acta Math. Acad. Sci. Hungar. 32 (1978), 5 - 16. (1978) MR0551490
  3. W. H. Cornish A. S. A. Noor, Standard elements in a nearlattice, Bull. Austral. Math. Soc. 26 (2) (1982), 185 - 213. (1982) MR0683652
  4. G. Grätzer, Lattice Theory. First concepts and distributive lattices, Freeman, San Francisco, 1971. (1971) MR0321817
  5. G. Grätzer E. T. Schmidt, Standard ideals in lattices, Acta Math. Acad. Sci. Hung. 12 (1961), 17 - 86. (1961) MR0133265
  6. M. F. Janowitz, A note on normal ideals, J. Sci. Hiroshima Univ. Ser. A - I, 30 (1966), 1 -9. (1966) Zbl0154.01001MR0204333
  7. M. Kolibiar, A ternary operation in lattices, ( Russian ), Czechosl. Math. J. 6 (1956), 318 - 327. (1956) MR0086791
  8. F. Maeda S. Maeda, Theory of symmmetric lattices, Springer Verlag, Berlin, Hiedelberg, 1970. (1970) MR0282889
  9. J. Nieminen, The lattice of translations on a lattice, Acta Sci. Math. 39 (1977), 109 - 113. (1977) Zbl0364.06005MR0441798
  10. G. Szász, Translation der Verbände, Acta Fac. Rerum. Natur. Univ. Comenian. Math. 5 (1961), 449 - 453. (1961) MR0132705
  11. G. Szász J. Szendrei, Über der Translation der Halbverbände, Acta Sci. Math. (Szeged) 18 (1957), 44 - 47. (1957) MR0087667

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