Title:
|
Characterizations of nonexpansive multipliers on partially ordered sets (English) |
Author:
|
Pataki, Gergely |
Author:
|
Száz, Árpád |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
51 |
Issue:
|
4 |
Year:
|
2001 |
Pages:
|
371-382 |
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Category:
|
math |
. |
MSC:
|
06A06 |
MSC:
|
06A12 |
idZBL:
|
Zbl 0991.06001 |
idMR:
|
MR1864106 |
. |
Date available:
|
2009-09-25T11:53:30Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130017 |
. |
Reference:
|
[1] BIRKHOFF G.: Lattice Theory.Amer. Math. Soc, Providence, RI, 1973. MR 0378453 |
Reference:
|
[2] BRAINERD B.-LAMBEK J.: On the ring of quotients of a Boolean ring.Canad. Math. Bull. 2 (1959), 25-29. Zbl 0085.26104, MR 0101199 |
Reference:
|
[3] CORNISH W. H.: The multiplier extension of a distributive lattice.J. Algebra 32 (1974), 339-355. Zbl 0318.06016, MR 0357260 |
Reference:
|
[4] KOLIBIAR M.: Bemerkungen über translationen der Verbände.Acta Fac. Rerum Natur. Univ. Comenian. Math. 5 (1961), 455-458. Zbl 0113.01901, MR 0132706 |
Reference:
|
[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). Zbl 1001.06001, MR 1887647 |
Reference:
|
[6] SCHMID J.: Multipliers on distributive lattices and rings of quotients I.Houston J. Math. 6 (1980), 401-425. Zbl 0501.06008, MR 0597779 |
Reference:
|
[7] SZASZ G.: Die Translationen der Halbverbande.Acta Sci. Math. (Szeged) 17 (1956), 165-169. MR 0082471 |
Reference:
|
[8] SZASZ G.: Translationen der Verbande.Acta Fac. Rerum Natur. Univ. Comenian. Math. 5 (1961), 449-453. MR 0132705 |
Reference:
|
[9] SZASZ G.-SZENDREI J.: Über die Translation der Halbverbande.Acta Sci. Math. (Szeged) 18 (1957), 44-47. MR 0087667 |
Reference:
|
[10] SZAZ A.: Partial multipliers on partially ordered sets.Technical Report (Inst. Math. Inf., Univ. Debrecen) 98/8 (1998), 1-28. |
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