Results 1 to 10 of about 973 (21)
Minimally generated Boolean algebras and the Nikodym property
Topology and its Applications, 2023 A Boolean algebra $\mathcal A$ has the Nikodym property if every pointwise bounded sequence of bounded finitely additive measures on $\mathcal A$ is uniformly bounded. Assuming the Diamond Principle $\Diamond$, we will construct an example of a minimally generated Boolean algebra $\mathcal A$ with the Nikodym property.
Sobota, Damian, Zdomskyy, Lyubomyr
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Principal minors and rhombus tilings [PDF]
, 2014 The algebraic relations between the principal minors of an $n\times n$ matrix are somewhat mysterious, see e.g. [lin-sturmfels]. We show, however, that by adding in certain \emph{almost} principal minors, the relations are generated by a single relation,
Kenyon, Richard, Pemantle, Robin
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Gap-labelling conjecture with nonzero magnetic field [PDF]
, 2017 Given a constant magnetic field on Euclidean space ${\mathbb R}^p$ determined by a skew-symmetric $(p\times p)$ matrix $\Theta$, and a ${\mathbb Z}^p$-invariant probability measure $\mu$ on the disorder set $\Sigma$ which is by hypothesis a Cantor set ...
Benameur, Moulay Tahar, Mathai, Varghese
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Partial mirror symmetry, lattice presentations and algebraic monoids [PDF]
, 2011 This is the second in a series of papers that develops the theory of reflection monoids, motivated by the theory of reflection groups. Reflection monoids were first introduced in arXiv:0812.2789.
Everitt, Brent, Fountain, John
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Lifting Grobner bases from the exterior algebra
, 2000 In the article "Non-commutative Grobner bases for commutative algebras", Eisenbud-Peeva-Sturmfels proved a number of results regarding Grobner bases and initial ideals of those ideals in the free associative algebra which contain the commutator ideal. We
Andreas Nilsson +5 more
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Measures on minimally generated Boolean algebras
Topology and its Applications, 2007 The article deepens our knowledge about minimally generated Boolean algebras (in the sense of \textit{S. Koppelberg} [Order 5, No. 4, 393--406 (1989; Zbl 0676.06019)]. She proved that all such algebras are small in the sense that they do not contain an uncountable independent sequence. The author here shows that measures admitted by minimally generated
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Efficient Optimally Lazy Algorithms for Minimal-Interval Semantics
, 2016 Minimal-interval semantics associates with each query over a document a set of intervals, called witnesses, that are incomparable with respect to inclusion (i.e., they form an antichain): witnesses define the minimal regions of the document satisfying ...
Boldi, Paolo, Vigna, Sebastiano
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Pseudobases in Direct Powers of an Algebra [PDF]
, 1993 A subset P of an abstract algebra A is a pseudobasis if every function from P into A extends uniquely to an endomorphism on A. A is called K-free has a pseudobasis of cardinality K; A is minimally free if A has a pseudobasis.
Bankston, Paul
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Sparse Representations of Clifford and Tensor algebras in Maxima
, 2016 Clifford algebras have broad applications in science and engineering. The use of Clifford algebras can be further promoted in these fields by availability of computational tools that automate tedious routine calculations.
Prodanov, Dimiter, Toth, Viktor T.
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Canonical formulas for k-potent commutative, integral, residuated lattices
, 2016 Canonical formulas are a powerful tool for studying intuitionistic and modal logics. Actually, they provide a uniform and semantic way to axiomatise all extensions of intuitionistic logic and all modal logics above K4.
Bezhanishvili, Nick +2 more
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