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Title: Lattices and Bß-algebras
Other Titles: Lattices and Bß-algebra
Authors: Wong, Mei Ling
Issue Date: 2000
Abstract: 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.
Description: Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2000
vii, 50 leaves : ill. ; 30 cm
HKUST Call Number: Thesis MATH 2000 WongML
Appears in Collections:MATH Master Theses

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