# Residuated lattice

## Papers overview

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2010

2010

- 2010

Introduction and summary. In the theory of non-commutative rings certain distinguished subrings, one-sided and two-sided ideals… (More)

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2010

2010

- Multiple-Valued Logic and Soft Computing
- 2010

The reticulation of an algebra was first defined for commutative rings by Simmons [19] and it was extended by Belluce to non… (More)

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2008

2008

- 2008

In this paper we define the reticulation of a residuated lattice, prove that it has “good properties“, present two constructions… (More)

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2004

2004

- 2004

Dually residuated lattice-ordered monoids (DR`-monoids) generalize lattice-ordered groups and include also some algebras related… (More)

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Highly Cited

2003

Highly Cited

2003

- IJAC
- 2003

A residuated lattice is an ordered algebraic structure L = 〈L,∧,∨, · , e, \ , / 〉 such that 〈L,∧,∨〉 is a lattice, 〈L, ·, e〉 is a… (More)

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2003

2003

- 2003

Cancellative residuated lattices are natural generalizations of lattice-ordered groups ( -groups). Although cancellative monoids… (More)

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2002

2002

- Science in China Series F: Information Sciences
- 2002

It reveals some equivalences between automata based on complete residuated lattice-valued logic (calledl valued automata) and the… (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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Review

2002

Review

2002

- 2002

Residuation is a fundamental concept of ordered structures and categories. In this survey we consider the consequences of adding… (More)

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2001

2001

- Science in China Series : Information Sciences
- 2001

This paper establishes a fundamental framework of automata theory based on complete residuated lattice-valued logic. First it… (More)

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