We investigate the properties of Galois, dual Galois, residuated, and dual residuated connections on posets. In partic-ular, we show that their connections are related to relations. Key Words: Galois, dual Galois, residuated, dual residuate
AbstractAn important well-known result of Rota describes the relationship between the Möbius functio...
Abstract. We state conjectures on the relationships between automorphic representations and Galois r...
This book presents the main ideas of General Galois Theory as a generalization of Classical Galois T...
In this paper, we investigate the properties of Galois, dual Galois, residuated and dual residuated ...
This paper deals with Galois connections between two partially ordered sets (posets) A, B. The first...
Most studies of Galois connections begin with a function and ask the question: when is there a secon...
AbstractFour levels of Galois connections are exhibited, starting with the classical one and going v...
Abstract. The composition of two previously introduced Galois connections is used to provide a wider...
Lattice-Ordered Stone Spaces are shown to be the dual spaces of partial orders or meet semilattices....
Given two closure spaces (E,j) and (E',j'), a relation R inclue dans E x E' is said biclosed if ever...
The aim of the present paper is to generalize the concept of residuated poset, by replacing the usua...
Summary. In the paper, we investigate the duality of categories of complete lattices and maps preser...
By using the closure–interior Galois connection and the box product of relations, we show that the d...
summary:It is proved that orthomodular posets are in a natural one-to-one correspondence with certai...
Abstract. We investigate the properties of various frames and connections on partially ordered sets....
AbstractAn important well-known result of Rota describes the relationship between the Möbius functio...
Abstract. We state conjectures on the relationships between automorphic representations and Galois r...
This book presents the main ideas of General Galois Theory as a generalization of Classical Galois T...
In this paper, we investigate the properties of Galois, dual Galois, residuated and dual residuated ...
This paper deals with Galois connections between two partially ordered sets (posets) A, B. The first...
Most studies of Galois connections begin with a function and ask the question: when is there a secon...
AbstractFour levels of Galois connections are exhibited, starting with the classical one and going v...
Abstract. The composition of two previously introduced Galois connections is used to provide a wider...
Lattice-Ordered Stone Spaces are shown to be the dual spaces of partial orders or meet semilattices....
Given two closure spaces (E,j) and (E',j'), a relation R inclue dans E x E' is said biclosed if ever...
The aim of the present paper is to generalize the concept of residuated poset, by replacing the usua...
Summary. In the paper, we investigate the duality of categories of complete lattices and maps preser...
By using the closure–interior Galois connection and the box product of relations, we show that the d...
summary:It is proved that orthomodular posets are in a natural one-to-one correspondence with certai...
Abstract. We investigate the properties of various frames and connections on partially ordered sets....
AbstractAn important well-known result of Rota describes the relationship between the Möbius functio...
Abstract. We state conjectures on the relationships between automorphic representations and Galois r...
This book presents the main ideas of General Galois Theory as a generalization of Classical Galois T...