TY - BOOK

T1 - Incomparable Elements in Algebraic Lattices with an Application to AFL-theory

AU - Asveld, P.R.J.

N1 - Research supported by Netherlands Organization for the Advancement of Pure Research (ZWO).

PY - 1978

Y1 - 1978

N2 - Two special types of algebraic (or compactly generated) lattices, called GG- and GH-lattice, are introduced. These lattices are uncountable, and each element in these lattices (apart from the zero and unit) has an incomparable element. The main results characterize those elements which have a largest incomparable element. Then two particular kinds of algebras, called GG- and GH-algebra, are defined and it is shown that the lattice of subalgebras of a GG-algebra [GH-algebra] is a GG-lattice [GH-lattice]. Finally, some applications to the theory of Abstract Families of Languages (or AFL) are discussed.

AB - Two special types of algebraic (or compactly generated) lattices, called GG- and GH-lattice, are introduced. These lattices are uncountable, and each element in these lattices (apart from the zero and unit) has an incomparable element. The main results characterize those elements which have a largest incomparable element. Then two particular kinds of algebras, called GG- and GH-algebra, are defined and it is shown that the lattice of subalgebras of a GG-algebra [GH-algebra] is a GG-lattice [GH-lattice]. Finally, some applications to the theory of Abstract Families of Languages (or AFL) are discussed.

KW - HMI-SLT: Speech and Language Technology

KW - EWI-3715

M3 - Report

BT - Incomparable Elements in Algebraic Lattices with an Application to AFL-theory

PB - University of Twente

CY - Enschede

ER -