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Maximal subalgebras of Heyting algebras

Published online by Cambridge University Press:  20 January 2009

M. E. Adams
M. E. Adams
Affiliation:
State University of New York, New Paltz, New York, U.S.A.
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AHeyting algebra is an algebra H;∨,∧ →, 0,1) of type (2,2,2,0,0) for which H;∨,∧,0,1) is a bounded distributive lattice and → is the binary operation of relative pseudocomplementation (i.e., for a,b,c∈H,ac ∧≦birr c≦a→b). Associated with every subalgebra of a Heyting algebra is a separating set. Those corresponding to maximal subalgebras are characterized in Proposition 8 and, subsequently, are used in an investigation of Heyting algebras.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 29 , Issue 3 , October 1986 , pp. 359 - 365
Copyright
Copyright © Edinburgh Mathematical Society 1986

References

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