IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Residuated lattices and twist-structures
Autor/es:
MANUELA BUSANICHE
Lugar:
Barcelona
Reunión:
Congreso; SYSMICS Kick of meeting; 2016
Institución organizadora:
Universidad de Barcelona
Resumen:
Given a lattice L one can endow the direct product with a lattice order, that preserves the order in the first coordinate and reverses it in the second one. A natural involution can be defined in this structures. The idea of considering this kind of construction to deal with order involutions on lattices starts with a work of Kalman in 1958, and since then it has been widely used to represent manyinvolutive lattices with additional operations, such as Nelson algebras, involutive residuated lattices, N4-lattices and bilattices.We are interested in commutative residuated lattices whose base is a twist-structure.In the talk we will explore the subvariety of residuated lattices that can be represented by twist-products and we comment on some interesting subvarieties.
