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the rods and the snakes) to be admissible as sublattices of a variety generated by a given algebra, extending an unpublished result of Freese and Lipparini.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the rods and the snakes) to be admissible as sublattices of a variety generated by a given algebra, extending an unpublished result of Freese and Lipparini.
2023
Agliano, P., Bartali, S., Fioravanti, S. (2023). On freese's technique. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 33(8), 1599-1616 [10.1142/s0218196723500601].
File in questo prodotto:
File Dimensione Formato  
2302.11452.pdf

accesso aperto

Tipologia: Pre-print
Licenza: PUBBLICO - Pubblico con Copyright
Dimensione 231.58 kB
Formato Adobe PDF
231.58 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1246794