Results 21 to 30 of about 63 (62)
Morphisms and Order Ideals of Toric Posets
Mathematics, 2016 Toric posets are in some sense a natural “cyclic” version of finite posets in that they capture the fundamental features of a partial order but without the notion of minimal or maximal elements.
Matthew Macauley
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Conrad’s Partial Order on P.Q.-Baer *-Rings
Discussiones Mathematicae - General Algebra and Applications, 2018 We prove that a p.q.-Baer *-ring forms a pseudo lattice with Conrad’s partial order and also characterize p.q.-Baer *-rings which are lattices. The initial segments of a p.q.-Baer *-ring with the Conrad’s partial order are shown to be an orthomodular ...
Khairnar Anil, Waphare B.N.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Let X be a nonempty set and TX be the full transformation semigroup on X. For ∅≠Y⊆X, the semigroup of all transformations that leave Y invariant in TX is denoted as S(X, Y) = {f ∈ TX : f(Y)⊆Y}. We fix an element θ ∈ S(X, Y) and specify an operation ∗ on S(X, Y) by f∗g = fθg, where fθg denotes the produce of θ, g and f in the general sense.
Meiqing Qin +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.Let X be a finite total order set and E be a convex equivalence relation on X. We denote that OE(X) = {f ∈ TE(X) : ∀x, y ∈ X, x ≤ y⟹f(x) ≤ f(y)} , where TE(X) is an E− preserving transformation semigroup. Obviously, OE(X) is a subsemigroup of TE(X), which is called an order‐preserving and equivalence‐preserving transformation semigroup.
Meiqing Qin, Xuerong Fu, Nian-Sheng Tang
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Upper and Lower Bounds in Relator Spaces [PDF]
, 2003 2000 Mathematics Subject Classification: 06A06, 54E15An ordered pair X(R) = ( X, R ) consisting of a nonvoid set X and a nonvoid family R of binary relations on X is called a relator space.
Száz, Árpád
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Equational characterizations for some subclasses of domains
Open MathematicsIt is well known that the continuity of a poset can be seen as a special distributivity. There is an open problem: is there an equational characterization for continuous semilattices?
Feng Fan, Li Xiangrui
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Posets and differential graded algebras
, 1998 If P is a partially ordered set and R is a commutative ring, then a certain differential graded /f-algebra A,(P) is defined from the order relation on P.
Wayne W Wheeler (20197140) +1 more
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A generalization of Banach’s fixed point theorem
Demonstratio MathematicaA large number of fixed point theorems available in the literature are based on contractive conditions that imply that the mapping is a strict contraction, that is, the distance between the images of two distinct points is strictly smaller than the ...
Jleli Mohamed, Samet Bessem
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Remarks on some connections between ideals and filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIdeals and filters are important notions with different meanings in the study of algebraic structures related to logical systems. In this paper we establish new connections between these concepts in residuated lattices.
Piciu Dana +2 more
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, 2004 . We provide a comprehensive picture of how to compare partial rankings, that is, rankings that allow ties. We propose several metrics to compare partial rankings and prove that they are within constant multiples of each other. Key words. partial ranking,
Ravi Kumar +4 more
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