The Experts below are selected from a list of 180 Experts worldwide ranked by ideXlab platform
Cameron Donnay Hill - One of the best experts on this subject based on the ideXlab platform.
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On positive local combinatorial dividing-lines in model theory
Archive for Mathematical Logic, 2019Co-Authors: Vincent Guingona, Cameron Donnay HillAbstract:We introduce the notion of positive local combinatorial dividing-lines in model theory. We show these are equivalently characterized by indecomposable algebraically trivial Fraïssé classes and by complete Prime Filter classes. We exhibit the relationship between this and collapse-of-indiscernibles dividing-lines. We examine several test cases, including those arising from various classes of hypergraphs.
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On positive local combinatorial dividing-lines in model theory
Archive for Mathematical Logic, 2018Co-Authors: Vincent Guingona, Cameron Donnay HillAbstract:We introduce the notion of positive local combinatorial dividing-lines in model theory. We show these are equivalently characterized by indecomposable algebraically trivial Fraisse classes and by complete Prime Filter classes. We exhibit the relationship between this and collapse-of-indiscernibles dividing-lines. We examine several test cases, including those arising from various classes of hypergraphs.
Saeed Rasouli - One of the best experts on this subject based on the ideXlab platform.
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Quasicomplemented residuated lattices
Soft Computing, 2020Co-Authors: Saeed RasouliAbstract: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 Prime Filter. The notion of a disjunctive residuated lattice is introduced, and it is observed that a residuated lattice is Boolean if and only if it is disjunctive and quasicomplemented. Finally, some characterizations for quasicomplemented residuated lattices are given by means of the new notion of $$\alpha $$-Filters.
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n-Normal residuated lattices
Soft Computing, 2020Co-Authors: Saeed Rasouli, Michiro KondoAbstract:The notion of n -normal residuated lattice, as a subclass of residuated lattices in which every Prime Filter contains at most n minimal Prime Filters, is introduced and investigated. Before that, the notion of $$\omega $$ ω -Filter is introduced and it is observed that the set of $$\omega $$ ω -Filters in a residuated lattice forms a distributive lattice on its own, which includes the set of coannulets as a sublattice. The class of n -normal residuated lattices is characterized in terms of their Prime Filters, minimal Prime Filters, coannulets and $$\omega $$ ω -Filters. It is shown that a residuated lattice is normal if and only if its reticulation is conormal. Finally, the existence of the greatest $$\omega $$ ω -Filters contained in a given Filter of a normal residuated lattice is obtained.
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$n$-normal residuated lattices
arXiv: Rings and Algebras, 2018Co-Authors: Saeed Rasouli, Michiro KondoAbstract:The notion of $n$-normal 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 $\omega$-Filter is introduced and it is observed that the set of $\omega$-Filters in a residuated lattice forms a distributive lattice on its own, which includes the set of coannulets as a sublattice. The class of $n$-normal residuated lattices is characterized in terms of their Prime Filters, minimal Prime Filters, coannulets and $\omega$-Filters.
Vincent Guingona - One of the best experts on this subject based on the ideXlab platform.
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On positive local combinatorial dividing-lines in model theory
Archive for Mathematical Logic, 2019Co-Authors: Vincent Guingona, Cameron Donnay HillAbstract:We introduce the notion of positive local combinatorial dividing-lines in model theory. We show these are equivalently characterized by indecomposable algebraically trivial Fraïssé classes and by complete Prime Filter classes. We exhibit the relationship between this and collapse-of-indiscernibles dividing-lines. We examine several test cases, including those arising from various classes of hypergraphs.
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On positive local combinatorial dividing-lines in model theory
Archive for Mathematical Logic, 2018Co-Authors: Vincent Guingona, Cameron Donnay HillAbstract:We introduce the notion of positive local combinatorial dividing-lines in model theory. We show these are equivalently characterized by indecomposable algebraically trivial Fraisse classes and by complete Prime Filter classes. We exhibit the relationship between this and collapse-of-indiscernibles dividing-lines. We examine several test cases, including those arising from various classes of hypergraphs.
Michiro Kondo - One of the best experts on this subject based on the ideXlab platform.
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n-Normal residuated lattices
Soft Computing, 2020Co-Authors: Saeed Rasouli, Michiro KondoAbstract:The notion of n -normal residuated lattice, as a subclass of residuated lattices in which every Prime Filter contains at most n minimal Prime Filters, is introduced and investigated. Before that, the notion of $$\omega $$ ω -Filter is introduced and it is observed that the set of $$\omega $$ ω -Filters in a residuated lattice forms a distributive lattice on its own, which includes the set of coannulets as a sublattice. The class of n -normal residuated lattices is characterized in terms of their Prime Filters, minimal Prime Filters, coannulets and $$\omega $$ ω -Filters. It is shown that a residuated lattice is normal if and only if its reticulation is conormal. Finally, the existence of the greatest $$\omega $$ ω -Filters contained in a given Filter of a normal residuated lattice is obtained.
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$n$-normal residuated lattices
arXiv: Rings and Algebras, 2018Co-Authors: Saeed Rasouli, Michiro KondoAbstract:The notion of $n$-normal 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 $\omega$-Filter is introduced and it is observed that the set of $\omega$-Filters in a residuated lattice forms a distributive lattice on its own, which includes the set of coannulets as a sublattice. The class of $n$-normal residuated lattices is characterized in terms of their Prime Filters, minimal Prime Filters, coannulets and $\omega$-Filters.
Rasouli Saeed - One of the best experts on this subject based on the ideXlab platform.
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Quasicomplemented residuated lattices
2019Co-Authors: Rasouli SaeedAbstract: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 Prime Filter. The notion of disjunctive residuated lattices is introduced and it is observed that a residuated lattice is Boolean if and only if it is disjunctive and quasicomplemented. Finally, some characterizations for quasicomplemented residuated lattices are given by means of the new notion of $\alpha$-Filters.Comment: arXiv admin note: text overlap with arXiv:1812.11511, arXiv:1812.1151
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$n$-normal residuated lattices
2018Co-Authors: Rasouli Saeed, Kondo MichiroAbstract:The notion of $n$-normal 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 $\omega$-Filter is introduced and it is observed that the set of $\omega$-Filters in a residuated lattice forms a distributive lattice on its own, which includes the set of coannulets as a sublattice. The class of $n$-normal residuated lattices is characterized in terms of their Prime Filters, minimal Prime Filters, coannulets and $\omega$-Filters.Comment: arXiv admin note: text overlap with arXiv:1812.1151