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cs.LO2025
Duality theory and representations for distributive quasi relation algebras and DInFL-algebras
Andrew Craig, Peter Jipsen, Claudette Robinson
We develop dualities for complete perfect distributive quasi relation algebras and complete perfect distributive involutive FL-algebras. The duals are partially ordered frames with…
math.LO2025
Representability for distributive quasi relation algebras via nested sums
Andrew Craig, Claudette Robinson, Wilmari Morton
We extend the work of Galatos (2004) on nested sums, originally called generalised ordinal sums, of residuated lattices. We show that the nested sum of an odd quasi relation algebr…