Flat semilattices

• Autorzy: George Grätzer , Friedrich Wehrung
• Języki publikacji: EN

Słowa kluczowe

EN

antitone; lattice; flat; semilattice; tensor product

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 79
• Numer: 2
• Strony: 185-191

Daty

wydano

1999

otrzymano

1998-06-18

Twórcy

autor

George Grätzer

• Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada

autor

Friedrich Wehrung

• C.N.R.S., Université de Caen, Campus II, Département de Mathématiques, B.P. 5186, 14032 Caen Cedex, France

Bibliografia

• [1] J. Anderson and N. Kimura, The tensor product of semilattices, Semigroup Forum 16 (1978), 83-88.
• [2] G. Fraser, The tensor product of semilattices, Algebra Universalis 8 (1978), 1-3.
• [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] G. Grätzer, General Lattice Theory, 2nd ed., Birkhäuser, Basel, 1998.
• [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.
• [6] G. Grätzer and F. Wehrung, Tensor products of semilattices with zero, revisited, J. Pure Appl. Algebra, to appear.
• [7] G. Grätzer and F. Wehrung, Tensor products and transferability of semilattices, submitted for publication, 1998.
• [8] P. Pudlák, On congruence lattices of lattices, Algebra Universalis 20 (1985), 96-114.
• [9] R. W. Quackenbush, Non-modular varieties of semimodular lattices with a spanning $M_3$, Discrete Math. 53 (1985), 193-205.
• [10] E. T. Schmidt, Zur Charakterisierung der Kongruenzverbände der Verbände, Mat. Časopis Sloven. Akad. Vied 18 (1968), 3-20.