The Experts below are selected from a list of 8421 Experts worldwide ranked by ideXlab platform
P. T. Ramachandran - One of the best experts on this subject based on the ideXlab platform.
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Upper neighbours of Čech Closure Operators
Arabian Journal of Mathematics, 2018Co-Authors: T. Kavitha, M. Kunheenkutty, P. T. RamachandranAbstract:Here, we investigate the existence of upper neighbours in the lattice of $$T_{1}$$ Cech Closure Operators on a fixed set. In this paper, we prove that a first countable $$T_{1}$$ Closure Operator has no upper neighbour in the lattice of Cech Closure Operators.
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ADJACENCY IN THE LATTICE OF \u{C}ECH Closure OperatorS
International journal of pure and applied mathematics, 2015Co-Authors: M. Kunheenkutty, T. Kavitha, P. T. RamachandranAbstract:In this paper we investigate the adjacency relations in the lattice of Cech Closure Operators on a fixed set with special reference to T1 Cech Closure Operators. The existence of upper and lower neighbours of some Cech Closure Operators are demonstrated. The concept of simple expansions of a Cech Closure Operator is also introduced. AMS Subject Classification: 54A05, 03G10
E. Cosme Llópez - One of the best experts on this subject based on the ideXlab platform.
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A characterization of the n-ary many-sorted Closure Operators and a many-sorted Tarski irredundant basis theorem
Quaestiones Mathematicae, 2018Co-Authors: J. Climent Vidal, E. Cosme LlópezAbstract:AbstractA theorem of single-sorted algebra states that, for a Closure space (A, J ) and a natural number n, the Closure Operator J on the set A is n-ary if and only if there exists a single-sorted ...
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a characterization of the n ary many sorted Closure Operators and a many sorted tarski irredundant basis theorem
arXiv: Logic, 2017Co-Authors: Juan Climent Vidal, E. Cosme LlópezAbstract:A theorem of single-sorted algebra states that, for a Closure space $(A,J)$ and a natural number $n$, the Closure Operator $J$ on the set $A$ is $n$-ary if, and only if, there exists a single-sorted signature $\Sigma$ and a $\Sigma$-algebra $\mathbf{A}$ such that every operation of $\mathbf{A}$ is of an arity $\leq n$ and $J = \mathrm{Sg}_{\mathbf{A}}$, where $\mathrm{Sg}_{\mathbf{A}}$ is the subalgebra generating Operator on $A$ determined by $\mathbf{A}$. On the other hand, a theorem of Tarski asserts that if $J$ is an $n$-ary Closure Operator on a set $A$ with $n\geq 2$, and if $i
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A characterization of the $n$-ary many-sorted Closure Operators and a many-sorted Tarski irredundant basis theorem
arXiv: Logic, 2017Co-Authors: Juan Climent Vidal, E. Cosme LlópezAbstract:A theorem of single-sorted algebra states that, for a Closure space $(A,J)$ and a natural number $n$, the Closure Operator $J$ on the set $A$ is $n$-ary if, and only if, there exists a single-sorted signature $\Sigma$ and a $\Sigma$-algebra $\mathbf{A}$ such that every operation of $\mathbf{A}$ is of an arity $\leq n$ and $J = \mathrm{Sg}_{\mathbf{A}}$, where $\mathrm{Sg}_{\mathbf{A}}$ is the subalgebra generating Operator on $A$ determined by $\mathbf{A}$. On the other hand, a theorem of Tarski asserts that if $J$ is an $n$-ary Closure Operator on a set $A$ with $n\geq 2$, and if $i
T. Kavitha - One of the best experts on this subject based on the ideXlab platform.
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Upper neighbours of Čech Closure Operators
Arabian Journal of Mathematics, 2018Co-Authors: T. Kavitha, M. Kunheenkutty, P. T. RamachandranAbstract:Here, we investigate the existence of upper neighbours in the lattice of $$T_{1}$$ Cech Closure Operators on a fixed set. In this paper, we prove that a first countable $$T_{1}$$ Closure Operator has no upper neighbour in the lattice of Cech Closure Operators.
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ADJACENCY IN THE LATTICE OF \u{C}ECH Closure OperatorS
International journal of pure and applied mathematics, 2015Co-Authors: M. Kunheenkutty, T. Kavitha, P. T. RamachandranAbstract:In this paper we investigate the adjacency relations in the lattice of Cech Closure Operators on a fixed set with special reference to T1 Cech Closure Operators. The existence of upper and lower neighbours of some Cech Closure Operators are demonstrated. The concept of simple expansions of a Cech Closure Operator is also introduced. AMS Subject Classification: 54A05, 03G10
Luay A Alswidi - One of the best experts on this subject based on the ideXlab platform.
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weak separation axioms open set and Closure Operator
Abstract of Emerging Trends in Scientific Research, 2014Co-Authors: Mustafa H Hadi, Luay A AlswidiAbstract:In this paper we introduce a new type of weak separation axioms with some related theorems and show that they are equivalent with these in [2].
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weak separation axioms via ω open set and ω Closure Operator
Journal of Asian Scientific Research, 2014Co-Authors: Mustafa H Hadi, Luay A AlswidiAbstract:In this paper we introduce a new type of weak separation axioms with some related theorems and show that they are equivalent with these in [1].
M. Kunheenkutty - One of the best experts on this subject based on the ideXlab platform.
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Upper neighbours of Čech Closure Operators
Arabian Journal of Mathematics, 2018Co-Authors: T. Kavitha, M. Kunheenkutty, P. T. RamachandranAbstract:Here, we investigate the existence of upper neighbours in the lattice of $$T_{1}$$ Cech Closure Operators on a fixed set. In this paper, we prove that a first countable $$T_{1}$$ Closure Operator has no upper neighbour in the lattice of Cech Closure Operators.
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ADJACENCY IN THE LATTICE OF \u{C}ECH Closure OperatorS
International journal of pure and applied mathematics, 2015Co-Authors: M. Kunheenkutty, T. Kavitha, P. T. RamachandranAbstract:In this paper we investigate the adjacency relations in the lattice of Cech Closure Operators on a fixed set with special reference to T1 Cech Closure Operators. The existence of upper and lower neighbours of some Cech Closure Operators are demonstrated. The concept of simple expansions of a Cech Closure Operator is also introduced. AMS Subject Classification: 54A05, 03G10