Weak direct factors of lattices

Rok, strany: 2006, 33 - 45

A sublattice $A$ of a lattice $L$ is said to be a weak direct factor of $L$ if there exist a lattice $B$ with a least element $0$ and an embedding $φ: L\to A× B$ with $φ(A)=A× \{0\}$. There are given necessary and sufficient conditions for a sublattice $A$ of a lattice $L$ to be a weak direct factor of $L$. Further, the ordered system of all weak direct factors of a lattice is investigated.

ISO 690:

Lihová, J. 2006. Weak direct factors of lattices. In Mathematica Slovaca, vol. 56, no.1, pp. 33-45. 0139-9918.

APA:

Lihová, J. (2006). Weak direct factors of lattices. Mathematica Slovaca, 56(1), 33-45. 0139-9918.