On Stanley-Reisner rings
Ralf Fröberg (1990)
Banach Center Publications
Ján Jakubík (1994)
Mathematica Slovaca
Juhani Nieminen (1977)
Archivum Mathematicum
Konrad Pióro (2001)
Mathematica Bohemica
We use graph-algebraic results proved in [8] and some results of the graph theory to characterize all pairs of lattices for which there is a finite partial unary algebra such that its weak and strong subalgebra lattices are isomorphic to and , respectively. Next, we describe other pairs of subalgebra lattices (weak and relative, etc.) of a finite unary algebra. Finally, necessary and sufficient conditions are found for quadruples of lattices for which there is a finite unary algebra having...
Abraham Goetz (1972)
Colloquium Mathematicae
Mária Tomková (1977)
Mathematica Slovaca
Juhani Nieminen (1972)
Commentationes Mathematicae Universitatis Carolinae
Josef Zapletal (1974)
Archivum Mathematicum
William H. Cornish (1977)
Mathematica Slovaca
Šešelja, Branimir, Tepavčević, Andreja (1996)
Novi Sad Journal of Mathematics
Lowig, H.F.J. (1978)
Portugaliae mathematica
Štefan Černák (1983)
Mathematica Slovaca
Ján Jakubík (2001)
Mathematica Bohemica
In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.
Sauro Tulipani (1983)
Czechoslovak Mathematical Journal
Philippe Gaborit, Gilles Zémor (2007)
Annales de l’institut Fourier
We consider the problem of constructing dense lattices in with a given non trivial automorphisms group. We exhibit a family of such lattices of density at least , which matches, up to a multiplicative constant, the best known density of a lattice packing. For an infinite sequence of dimensions , we exhibit a finite set of lattices that come with an automorphisms group of size , and a constant proportion of which achieves the aforementioned lower bound on the largest packing density. The algorithmic...
Bordalo, G. (1980)
Portugaliae mathematica
Zhang, Kunlun, Song, Lixia, Sun, Yikang (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Mauro Costantini (1993)
Rendiconti del Seminario Matematico della Università di Padova
Helmut Völklein (1986)
Rendiconti del Seminario Matematico della Università di Padova
Danica Jakubíková-Studenovská (1989)
Czechoslovak Mathematical Journal