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Strong maximals: Elements with maximal score in partial orders
It is usually assumed that maximal elements are the best option for an agent. But there are situations in which we can observe that maximal elements are “different” one from another. This is the case of partial orders, in which one maximal element can be strictly preferred to almost every other element, whereas another maximal is not strictly preferred
Begoña Subiza
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Maximal d-Elements of an Algebraic Frame
Order, 2018The study is in the context of \(M\)-frames, namely those algebraic frames possessing the finite intersection property. The authors investigate a number of properties of maximal \(d\)-elements of these \(M\)-frames, including their relations with ultrafilters of the set of the so-called polars (namely, pseudocomplements) of the compact elements of a ...
Papiya Bhattacharjee
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Finite Groups with 30 Elements of Maximal Order
Applied Categorical Structures, 2007It is an interesting topic to determine the structure of a finite group which has a given number of elements of maximal order. In this article, the author classified finite groups with 30 elements of maximal order.
Guiyun Chen, Wujie Shi, Chen Guiyun
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Variational inequalities, maximal elements and economic equilibria
Journal of Mathematical Analysis and Applications, 2023Let a choice set \(X \subseteq \mathbb{R}^C\) , with \(C \in \mathbb{N}\), a constraint set \(K \subseteq X\), a preference relation \(\succeq\) on \(X\), and the strictly preference set-valued map \(P: X \rightrightarrows X\) defined by \(P(x) = \{z \in X: z \succ x\}\).
Maria Bernadette Donato
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Finite groups with 24 elements of maximal order
Frontiers of Mathematics in China, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qinhui Jiang +2 more
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On the Existence of Greatest and Maximal Elements
2008 International Seminar on Future Information Technology and Management Engineering, 2008The main purpose of this paper is to deal with the existence of greatest and maximal elements of weak and strict preference relations and give necessary conditions for the existence of greatest and maximal elements of weak and strict preference relations in framework of general topological spaces without linear and convex structure.
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On the Number of Maximal Elements in a Partially Ordered Set
AbstractLet P be a partially ordered set. For an element x ∊ P, a subset C of P is called a cutset for x in P if every element of C is noncomparable to x and every maximal chain in P meets {x} ∪ C. The following result is established: if every element of P has a cutset having n or fewer elements, then P has at most 2n maximal elements. It follows that,
John Ginsburg
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Maximal elements with minimal logic
Information Processing Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence of maximal elements and equilibria
Publicationes Mathematicae Debrecen, 2022A maximal element of a multifunction \(F(x)\) is a point \(x_ 0\) with \(F(x_ 0)\) empty. Indeed, if the graph of \(F\) is generated by a relation, then the maximal elements of the relation coincide with the maximal elements of the multifunction. The paper establishes existence of maximal elements under a condition called weakly \(B\)-majorizing.
Mehta, G., Tarafdar, E.
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Maximal elements and equilibrium of abstract economy
Applied Mathematics and Mechanics, 2001The present paper continues similar results of the authors and introduces the notions of \(Q_\theta\)-majorant of \(\varnothing\) and \(Q_\theta\)-majorized correspondence in order to generalize the lower semi-continuous correspondences which are irreflexive and have open convex values.
Liu, Xinge, Cai, Haitao
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