Injective and projective regular double Stone algebras
Tóm tắt
We characterize the injective and projective regular double Stone algebras, and describe those regular double Stone algebras which are also projective in the category of double Stone algebras.
Tài liệu tham khảo
R. Balbes andG. Grätzer,Injective and projective Stone algebras, Duke Math. J.37 (1970), 537–545.
I. Düntsch,A class of projective Stone algebras, Bull. Austral. Math. Soc24 (1981), 133–147.
I. Düntsch,A description of the projective Stone algebras, Glasgow Math. J.24 (1983), 75–83.
I. Düntsch,On free or projective regular double Stone algebras, Houston J. Math.9 (1983), 455–463.
B. A. Davey andH. Werner,Injectivity and Boolean powers, Math. Zeitschrift166 (1979) 205–223.
R. Engelking andA. Pelczynski,Remarks on dyadic spaces, Coll. Math.21 (1963), 55–63.
G.Grätzer,General lattice theory, Birkhäuser 1978.
T. Kátriňak,Construction of regular double P-algebras, Bull. Soc. Roy. Liege43 (1974), 283–290.
T. Kátriňak,Injective double Stone algebras, Algebra Univ.4 (1974), 259–267.
H. A. Priestley,Stone lattices: A topological approach, Fund. Math.84 (1974), 127–143.