4 papers
New partial orders on Rickart *-rings
Cecilia Rossana Cimadamore, Laura Alicia Rueda, Melina Vanina Verdecchia
In this paper, we define and study partial orders on a Rickart *-ring obtained by imposing an additional condition on the star and the one-sided star partial orders. For each such…
Lattice properties of the sharp partial order
Cecilia R. Cimadamore, Laura A. Rueda, Néstor Thome +1
The aim of this paper is to study lattice properties of the sharp partial order for complex matrices having index at most 1. We investigate the down-set of a fixed matrix under…
An algebraic study of S5-modal Gödel logic
Diego Castaño, Cecilia Cimadamore, José Patricio Díaz Varela +1
In this paper we continue the study of the variety of monadic Gödel algebras. These algebras are the equivalent algebraic semantics of the S5-modal expansion of Gödel…
Monadic BL-algebras: the equivalent algebraic semantics of Hájek's monadic fuzzy logic
Diego Castaño, Cecilia Cimadamore, José Patricio Díaz Varela +1
In this article we introduce the variety of monadic BL-algebras as BL-algebras endowed with two monadic operators and . After a study of the basic properties of…