In this paper, we explore some applications of a certain technique (that we call Freese’ technique), which is a tool for identifying certain lattices as sublattices of the congruence lattice of a given algebra. In particular we will give sufficient conditions for two family of lattices (called the rods and the snakes) to be admissible as sublattices of a variety generated by a given algebra, extending an unpublished result of Freese and Lipparini.
Agliano, P., Bartali, S., Fioravanti, S. (2023). On freese's technique. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 33(8), 1599-1616 [10.1142/s0218196723500601].
On freese's technique
Paolo Agliano
;Stefano Fioravanti
2023-01-01
Abstract
In this paper, we explore some applications of a certain technique (that we call Freese’ technique), which is a tool for identifying certain lattices as sublattices of the congruence lattice of a given algebra. In particular we will give sufficient conditions for two family of lattices (called the rods and the snakes) to be admissible as sublattices of a variety generated by a given algebra, extending an unpublished result of Freese and Lipparini.
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https://hdl.handle.net/11365/1246794