Complements in modular and semimodular lattices.
Bordalo, G.H., Rodrigues, E. (1998)
Portugaliae Mathematica
K. G. Johnston (1977/1978)
Semigroup forum
Shuichiro Maeda (1972)
Mathematische Zeitschrift
B. Leclerc, B. Monjardet (1974)
Fundamenta Mathematicae
Andrzej Walendziak (2001)
Gábor Czédli (1995)
Archivum Mathematicum
For a class of structures and let resp. denote the lattices of -congruences resp. -congruences of , cf. Weaver [25]. Let where is the operator of forming isomorphic copies, and . For an ordered algebra the lattice of order congruences of is denoted by , and let if is a class of ordered algebras. The operators of forming subdirect squares and direct products are denoted by and , respectively. Let be a lattice identity and let be a set of lattice identities. Let denote...
Emil Slatinský (1984)
Archivum Mathematicum
Rupal Shroff (2022)
Mathematica Bohemica
In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element of a lattice with is said to be a Goldie extending element if and only if for every there exists a direct summand of such that is essential in both and . Some characterizations of decomposition of a Goldie extending element in a modular lattice are obtained.
Joanna Grygiel (2004)
Discussiones Mathematicae - General Algebra and Applications
We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.
Waphare, B.N., Joshi, V.V. (2004)
Acta Mathematica Universitatis Comenianae. New Series
S.P. Avann (1961)
Mathematische Zeitschrift
Henner Kröger (1978)
Journal für die reine und angewandte Mathematik
M. Stern, U. Siebert, M. Krötenheerdt (1986)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
RICHTER, GERD (1979)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Jacques Fort (1963/1964)
Séminaire Dubreil. Algèbre et théorie des nombres
Aghabozorgi, H., Jafarpour, M., Davvaz, B. (2011)
The Electronic Journal of Combinatorics [electronic only]
Ralph McKenzie (1970)
Mathematica Scandinavica
V. A. Ponomarev (1990)
Banach Center Publications
M. Janowitz (1975)
Fundamenta Mathematicae
Guy Boulaye (1968/1969)
Séminaire Dubreil. Algèbre et théorie des nombres