Please use this identifier to cite or link to this item: http://hdl.handle.net/1783.1/5106

Lattices and Bß-algebras

Lattices and Bß-algebra

Authors Wong, Mei Ling
Issue Date 2000
Summary A ring over the Boolean algebra B1 (which we call B1-algebra), has both combinatorial and algebraic features. A finite module over B1 has naturally a lattice structure. A finite B1-algebra is therefore a lattice with an algebraic structure. We can make use of this property to classify some finite B1-algebras. In this work, we prove some finiteness results about B1-algebras generated by one element and give a complete classification of six families of B1-algebras.
Note Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2000
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Language English
Format Thesis
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