# Residuated Boolean algebra

In mathematics, a residuated Boolean algebra is a residuated lattice whose lattice structure is that of a Boolean algebra. Examples include Boolean… (More)
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2002-2017

## Papers overview

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2017
2017
A structural description of absorbent-continuous group-like commutative residuated lattices over complete, order-dense chains… (More)
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2017
2017
Hahn’s famous structure theorem states that totally ordered Abelian groups can be embedded in the lexicographic product of real… (More)
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2015
2015
• Archive of Formal Proofs
• 2015
The theory of residuated lattices, first proposed by Ward and Dilworth [4], is formalised in Isabelle/HOL. This includes concepts… (More)
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2013
2013
• RESIDUATED LATTICES, On
• 2013
ΠMTL-algebras were introduced as an algebraic counterpart of the cancellative extension of monoidal t-norm based logic. It was… (More)
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2011
2011
Among the class of finite integral commutative residuated chains (ICRCs), we identify those algebras which can be obtained as a… (More)
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2010
2010
In Section 2 replace the definition of ∗◦Q in Definition 1 by x∗◦Q y = inf{u ∗◦ v | u > x, v > y}. It is defined only if the… (More)
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2010
2010
A class K of similar algebras is said to have the finite embeddability property (briefly, the FEP) if every finite subset of an… (More)
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2009
2009
• Math. Log. Q.
• 2009
The problem of characterization of the structure of MTL-algebras, which form an equivalent algebraic semantics for Monoidal T… (More)
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2008
2008
• Order
• 2008
An algebra M = (M ; ,∨,∧,→, 0, 1) of type 〈2, 2, 2, 2, 0, 0〉 is called a bounded commutative R`-monoid iff (i) (M ; , 1) is a… (More)
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2002
2002
• IJAC
• 2002
for a, b, c ∈ L. The class of all commutative residuated lattices, denoted by CRL, is a finitely based variety of algebras… (More)
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