A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Residuated lattices

1939
*
Transactions of the American Mathematical Society
*

We prove a similar result for

doi:10.1090/s0002-9947-1939-1501995-3
fatcat:4esiadto5nasdmvpb5tahs5uee
*residuation*. Theorem 8.2. A*lattice*built up out of a set of*residuated**lattices*connected into a chain by nodes can be*residuated*. ... Let © ie a*lattice*in which the following conditions hold: N 1. The*lattice*© may be*residuated*. Then © ¿s a Noether*lattice*. ... We first consider the following*lattice*SBi; and we define a multiplication xy over Söi by the following ...##
###
Residuated Lattices

1938
*
Proceedings of the National Academy of Sciences of the United States of America
*

A

doi:10.1073/pnas.24.3.162
pmid:16588213
pmcid:PMC1077055
fatcat:3flgiz5eqbfzffummrig6wrlm4
*lattice*built up out of a set of*residuated**lattices*connected into a chain by nodes can be*residuated*. THEOREM. ... A direct product of*residuated**lattices*can be*residuated*; conversely if a*residuated**lattice*can be expressed as a direct product, each of its factors can be*residuated*. THEOREM. ...##
###
Residuated Lattices

1939
*
Transactions of the American Mathematical Society
*

We prove a similar result for

doi:10.2307/1990008
fatcat:hubga6jamzfdbcwghndfpu7ddu
*residuation*. Theorem 8.2. A*lattice*built up out of a set of*residuated**lattices*connected into a chain by nodes can be*residuated*. ... Let © ie a*lattice*in which the following conditions hold: N 1. The*lattice*© may be*residuated*. Then © ¿s a Noether*lattice*. ... We first consider the following*lattice*SBi; and we define a multiplication xy over Söi by the following ...##
###
Archimedean Residuated Lattices

2010
*
Annals of the Alexandru Ioan Cuza University - Mathematics
*

of Nachbin type for

doi:10.2478/v10157-010-0017-5
fatcat:ygpw6x3655a63au2c5zmbohcoe
*residuated**lattices*. ... For a*residuated**lattice*A we denote by Ds(A) the*lattice*of all deductive systems (congruence filters) of A. ... of a*residuated**lattice*. ...##
###
Sectionally residuated lattices

2005
*
Miskolc Mathematical Notes
*

*Residuated*

*lattices*were introduced by Ward and Dilworth [6] and studied by several authors. Two monographs contain a compendium on

*residuated*

*lattices*. ... Thus, considering ⊗ = ∧, N 5 is not a

*residual*

*lattice*. ...

##
###
Quasicomplemented residuated lattices
[article]

2019
*
arXiv
*
pre-print

The notion of disjunctive

arXiv:1904.10302v1
fatcat:gwzhdpqdyfenpozzhjnvytjqiy
*residuated**lattices*is introduced and it is observed that a*residuated**lattice*is Boolean if and only if it is disjunctive and quasicomplemented. ... In this paper, the class of quasicomplemented*residuated**lattices*is introduced and investigated, as a subclass of*residuated**lattices*in which any prime filter not containing any dense element is a minimal ... Let A be a*residuated**lattice*. ...##
###
Mp-residuated lattices
[article]

2022
*
arXiv
*
pre-print

This paper is devoted to the study of a fascinating class of

arXiv:2203.15018v1
fatcat:z3uzhy6rynfhfn4pc4vdd4byfi
*residuated**lattices*, the so-called mp-*residuated**lattice*, in which any prime filter contains a unique minimal prime filter. ... The class of mp-*residuated**lattices*is characterized by means of pure filters. ... Let A be a*residuated**lattice*. ...##
###
Cancellative residuated lattices

2003
*
Algebra Universalis
*

Cancellative

doi:10.1007/s00012-003-1822-4
fatcat:clykxn6i75efzeblp5d4ushymq
*residuated**lattices*are natural generalizations of*lattice*-ordered groups ( -groups). ... In fact we prove that every*lattice*can be embedded in the*lattice*reduct of a cancellative*residuated**lattice*. ... For a survey of*residuated**lattices*we refer to [21] . The class RL of all*residuated**lattices*is easily seen to be a variety [7] . ...##
###
Commutative idempotent residuated lattices

2007
*
Czechoslovak Mathematical Journal
*

(Note that, in fact, C 2 is the only two-element

doi:10.1007/s10587-007-0055-7
fatcat:dtn4xcbkl5clljgzdefulmekyy
*residuated**lattice*and C 3 is the only non-integral three-element*residuated**lattice*.) ... A*residuated**lattice*is called integral if all its elements are negative. Let C 2 be the two-element CI*residuated**lattice*, C 2 = {0, 1}, e = 1. ...##
###
Kites and Residuated Lattices
[article]

2017
*
arXiv
*
pre-print

We investigate a construction of an integral

arXiv:1707.00267v1
fatcat:i5fxcdnxyfglfiama4khe3vcpu
*residuated**lattice*starting from an integral*residuated**lattice*and two sets with an injective mapping from one set into the second one. ... We show that the variety of integral*residuated**lattices*generated by kites is generated by all finite-dimensional kites. In particular, we describe some homomorphisms among kites. ... Kites*Residuated**Lattices*We present a construction of kite*residuated**lattices*starting from an integral*residuated**lattice*. ...##
###
Non-Commutative Residuated Lattices
[chapter]

1990
*
The Dilworth Theorems
*

In Part I the properties of non-commutative multiplication and

doi:10.1007/978-1-4899-3558-8_33
fatcat:vgdj6kcgkvbpvatyah4we5gt7a
*residuation*over a*lattice*are developed. ... The second division of the paper deals with the structure of non-commutative*residuated**lattices*in the vicinity of the unit element. ... Archimedean*residuated**lattices*8. ...##
###
Monadic Bounded Residuated Lattices

2011
*
Order
*

Keywords Bounded integral

doi:10.1007/s11083-011-9236-y
fatcat:x4woubxx7favnjjpgoy54n763i
*residuated**lattice*· Monadic*residuated**lattice*· Algebras of logics · Quantifier Mathematics Subject Classifications (2010) 03B50 · 06D20 · 06D35 · 06F05 Introduction Monadic ... Bounded integral*residuated**lattices*form a large class of algebras which contains algebraic counterparts of several propositional logics behind many-valued reasoning and intuitionistic logic. ... We define functional monadic*residuated**lattices*and show that every such algebra is a monadic*residuated**lattice*. ...##
###
n-normal residuated lattices
[article]

2018
*
arXiv
*
pre-print

The notion of n-normal

arXiv:1812.11511v1
fatcat:zg6djymcqnha3dfzwqy422gtq4
*residuated**lattice*, as a class of*residuated**lattices*in which every prime filter contains at most n minimal prime filters, is introduced and studied. ... Before that, the notion of ω-filter is introduced and it is observed that the set of ω-filters in a*residuated**lattice*forms a distributive*lattice*on its own, which includes the set of coannulets as a ... Let A be a*residuated**lattice*. ...##
###
Conic Idempotent Residuated Lattices
[article]

2022
*
arXiv
*
pre-print

We show that every variety generated by conic idempotent

arXiv:2208.09724v1
fatcat:fz23ke7xqneepbhruu5pmb7tsm
*residuated**lattices*enjoys the congruence extension property. In particular, this holds for semilinear idempotent*residuated**lattices*. ... Using this, we show that although conic idempotent*residuated**lattices*do not enjoy the amalgamation property, the natural class of rigid and conjunctive conic idempotent*residuated**lattices*has the strong ...*residuated**lattices*. ...##
###
Abstract Residuation over Lattices
[chapter]

1990
*
The Dilworth Theorems
*

*RESIDÜATION*OVER

*LATTICES** R. P. DILWORTH Introduction. The idea of

*residuation*goes back to Dedekind [3 ], f who introduced it in the theory of modules. ... Hence we shall consider a

*residual*defined over a system having only these two operations, that is, over a

*lattice*[2] . ... LI, L2, L3, and L4 are his axioms for a

*lattice*. ...

« Previous

*Showing results 1 — 15 out of 257,609 results*