Varieties of Interior Algebras [PhD Thesis]
W.J.Blok
This is a doctoral dissertation of Wim Blok accomplished under supervision of prof. Dr. Ph.Dwinger in 1976. It is one of the outstanding dissertations on modal logic, although the title does not explicitly refer to modal logic.
Abstract. We study (generalized) Boolean algebras endowed with an interior operator, called (generalized) interior algebras. Particular attention is paid to the structure of the free (generalized) interior algebra on a finite number of generators. Free objects in some varieties of (generalized) interior algebras are determined. Using methods of a universal algebraic nature we investigate the lattice of varieties of interior algebras.
Abstract. We study (generalized) Boolean algebras endowed with an interior operator, called (generalized) interior algebras. Particular attention is paid to the structure of the free (generalized) interior algebra on a finite number of generators. Free objects in some varieties of (generalized) interior algebras are determined. Using methods of a universal algebraic nature we investigate the lattice of varieties of interior algebras.
Категории:
Год:
1976
Издательство:
Universiteit van Amsterdam
Язык:
english
Страницы:
275
Файл:
PDF, 12.55 MB
IPFS:
,
english, 1976
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