Flat semilattices

George Grätzer; Friedrich Wehrung

Colloquium Mathematicae (1999)

  • Volume: 79, Issue: 2, page 185-191
  • ISSN: 0010-1354

How to cite

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Grätzer, George, and Wehrung, Friedrich. "Flat semilattices." Colloquium Mathematicae 79.2 (1999): 185-191. <http://eudml.org/doc/210633>.

@article{Grätzer1999,
author = {Grätzer, George, Wehrung, Friedrich},
journal = {Colloquium Mathematicae},
keywords = {antitone; lattice; flat; semilattice; tensor product; flat semilattice; distributive},
language = {eng},
number = {2},
pages = {185-191},
title = {Flat semilattices},
url = {http://eudml.org/doc/210633},
volume = {79},
year = {1999},
}

TY - JOUR
AU - Grätzer, George
AU - Wehrung, Friedrich
TI - Flat semilattices
JO - Colloquium Mathematicae
PY - 1999
VL - 79
IS - 2
SP - 185
EP - 191
LA - eng
KW - antitone; lattice; flat; semilattice; tensor product; flat semilattice; distributive
UR - http://eudml.org/doc/210633
ER -

References

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  1. [1] J. Anderson and N. Kimura, The tensor product of semilattices, Semigroup Forum 16 (1978), 83-88. Zbl0387.20044
  2. [2] G. Fraser, The tensor product of semilattices, Algebra Universalis 8 (1978), 1-3. Zbl0474.06005
  3. [3] K. R. Goodearl and F. Wehrung, Representations of distributive semilattices by dimension groups, regular rings, C * -algebras, and complemented modular lattices, submitted for publication, 1997. 
  4. [4] G. Grätzer, General Lattice Theory, 2nd ed., Birkhäuser, Basel, 1998. Zbl0909.06002
  5. [5] G. Grätzer, H. Lakser and R. W. Quackenbush, The structure of tensor products of semilattices with zero, Trans. Amer. Math. Soc. 267 (1981), 503-515. Zbl0478.06003
  6. [6] G. Grätzer and F. Wehrung, Tensor products of semilattices with zero, revisited, J. Pure Appl. Algebra, to appear. Zbl0945.06003
  7. [7] G. Grätzer and F. Wehrung, Tensor products and transferability of semilattices, submitted for publication, 1998. 
  8. [8] P. Pudlák, On congruence lattices of lattices, Algebra Universalis 20 (1985), 96-114. Zbl0562.06005
  9. [9] R. W. Quackenbush, Non-modular varieties of semimodular lattices with a spanning M 3 , Discrete Math. 53 (1985), 193-205. Zbl0558.06005
  10. [10] E. T. Schmidt, Zur Charakterisierung der Kongruenzverbände der Verbände, Mat. Časopis Sloven. Akad. Vied 18 (1968), 3-20. Zbl0155.35102

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