Semi-Boolean algebras and their applications to intuitionistic logic with dual operations
Cecylia Rauszer (1974)
Fundamenta Mathematicae
Similarity:
Cecylia Rauszer (1974)
Fundamenta Mathematicae
Similarity:
Cecylia Rauszer (1977)
Fundamenta Mathematicae
Similarity:
Abad Manuel, Cimadamore Cecilia, Díaz Varela José (2009)
Open Mathematics
Similarity:
In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra. Inspired by this representation, we introduce the notion of a monadic implication space, we give a topological representation for monadic implication algebras and we prove a dual equivalence between the category of monadic implication algebras and the category of monadic implication spaces.
Nelson, Evelyn
Similarity:
Antonio Ledda, Francesco Paoli, Antonino Salibra (2013)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
In a previous paper, we introduced the notion of Boolean-like algebra as a generalisation of Boolean algebras to an arbitrary similarity type. In a nutshell, a double-pointed algebra with constants is Boolean-like in case for all the congruences and are complementary factor congruences of . We also introduced the weaker notion of semi-Boolean-like algebra, showing that it retained some of the strong algebraic properties characterising Boolean algebras. In this paper, we continue...
Roman Sikorski (1963)
Colloquium Mathematicae
Similarity: