A characterization of orders of finite lattice type

1972 ◽  
Vol 17 (1) ◽  
pp. 79-84 ◽  
Author(s):  
M. Auslander ◽  
K. W. Roggenkamp
Keyword(s):  
2019 ◽  
Vol 523 ◽  
pp. 15-33
Author(s):  
Abdolnaser Bahlekeh ◽  
Fahimeh Sadat Fotouhi ◽  
Shokrollah Salarian
Keyword(s):  

2007 ◽  
Vol 301-302 ◽  
pp. 722-725 ◽  
Author(s):  
Kazuto Koike ◽  
Hisashi Harada ◽  
Tomoyuki Itakura ◽  
Mitsuaki Yano ◽  
Wolfgang Heiss ◽  
...  

1987 ◽  
Vol 59 (2) ◽  
pp. 187-207 ◽  
Author(s):  
Alfred Wiedemann
Keyword(s):  

2018 ◽  
Vol 28 (08) ◽  
pp. 1677-1691
Author(s):  
Stuart Margolis ◽  
John Rhodes ◽  
Pedro V. Silva

It is shown that the lattices of flats of boolean representable simplicial complexes are always atomistic, but semimodular if and only if the complex is a matroid. A canonical construction is introduced for arbitrary finite atomistic lattices, providing a characterization of the lattices of flats of boolean representable simplicial complexes and a decidability condition. We remark that every finite lattice occurs as the lattice of flats of some simplicial complex.


1979 ◽  
Vol 33 (1) ◽  
pp. 334-337 ◽  
Author(s):  
Christine Bessenrodt
Keyword(s):  

2004 ◽  
Vol 83 (4) ◽  
pp. 297-308 ◽  
Author(s):  
M. C. R. Butler ◽  
J. M. Campbell ◽  
L. G. Kov�cs

Sign in / Sign up

Export Citation Format

Share Document