Characterizations of nonexpansive multipliers on partially ordered sets

Gergely Pataki; Árpád Száz

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 4, page 371-382
  • ISSN: 0232-0525

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Pataki, Gergely, and Száz, Árpád. "Characterizations of nonexpansive multipliers on partially ordered sets." Mathematica Slovaca 51.4 (2001): 371-382. <http://eudml.org/doc/31918>.

@article{Pataki2001,
author = {Pataki, Gergely, Száz, Árpád},
journal = {Mathematica Slovaca},
keywords = {partially ordered set; semilattice; nonexpansive multiplier; quasi-interior operator},
language = {eng},
number = {4},
pages = {371-382},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Characterizations of nonexpansive multipliers on partially ordered sets},
url = {http://eudml.org/doc/31918},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Pataki, Gergely
AU - Száz, Árpád
TI - Characterizations of nonexpansive multipliers on partially ordered sets
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 4
SP - 371
EP - 382
LA - eng
KW - partially ordered set; semilattice; nonexpansive multiplier; quasi-interior operator
UR - http://eudml.org/doc/31918
ER -

References

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  1. BIRKHOFF G., Lattice Theory, Amer. Math. Soc, Providence, RI, 1973. (1973) MR0378453
  2. BRAINERD B.-LAMBEK J., On the ring of quotients of a Boolean ring, Canad. Math. Bull. 2 (1959), 25-29. (1959) Zbl0085.26104MR0101199
  3. CORNISH W. H., The multiplier extension of a distributive lattice, J. Algebra 32 (1974), 339-355. (1974) Zbl0318.06016MR0357260
  4. KOLIBIAR M., Bemerkungen über translationen der Verbände, Acta Fac. Rerum Natur. Univ. Comenian. Math. 5 (1961), 455-458. (1961) Zbl0113.01901MR0132706
  5. KOVACS I.-SZAZ A., Characterizations of effective sets and nonexpansive multipliers in conditionally complete and infinitely distributive partially ordered sets, Acta Math. Acad. Paedagog. Nyhazi. 17 (2001), 61-69 (Electronic). Zbl1001.06001MR1887647
  6. SCHMID J., Multipliers on distributive lattices and rings of quotients I, Houston J. Math. 6 (1980), 401-425. (1980) Zbl0501.06008MR0597779
  7. SZASZ G., Die Translationen der Halbverbande, Acta Sci. Math. (Szeged) 17 (1956), 165-169. (1956) MR0082471
  8. SZASZ G., Translationen der Verbande, Acta Fac. Rerum Natur. Univ. Comenian. Math. 5 (1961), 449-453. (1961) MR0132705
  9. SZASZ G.-SZENDREI J., Über die Translation der Halbverbande, Acta Sci. Math. (Szeged) 18 (1957), 44-47. (1957) MR0087667
  10. SZAZ A., Partial multipliers on partially ordered sets, Technical Report (Inst. Math. Inf., Univ. Debrecen) 98/8 (1998), 1-28. (1998) 

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