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.
Permanent URL for this record: https://lbezone.hkust.edu.hk/bib/b688790
Post a Comment