Results 31 to 40 of about 1,612,373 (342)
Roughness in Lattice Ordered Effect Algebras
Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context.
Xiao Long Xin, Xiu Juan Hua, Xi Zhu
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Lattice-ordered groups generated by an ordered group and regular systems of ideals [PDF]
Unbounded entailment relations, introduced by Paul Lorenzen (1951), are a slight variant of a notion which plays a fundamental role in logic (see Scott 1974) and in algebra (see Lombardi and Quitte 2015). We call systems of ideals their single-conclusion
T. Coquand, H. Lombardi, S. Neuwirth
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Irreducible highest weight representations of the simple n-Lie algebra [PDF]
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of all irreducible, highest weight modules, including the ...
Dana Bălibanu +5 more
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A Note on Congruences of Infinite Bounded Involution Lattices
We prove that an infinite (bounded) involution lattice and even pseudo-Kleene algebra can have any number of congruences between 2 and its number of elements or equalling its number of subsets, regardless of whether it has as many ideals as elements or ...
Claudia Muresan
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An incidence algebra of a nonlocally finite partially ordered set Q is a very rare concept, perhaps nonexistent. In this note, we will attempt to construct such an algebra.
Boniface I. Eke
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Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture [PDF]
The symmetric group $\mathfrak{S}_n$ acts on the polynomial ring $\mathbb{Q}[\mathbf{x}_n] = \mathbb{Q}[x_1, \dots, x_n]$ by variable permutation.
J. Haglund, B. Rhoades, M. Shimozono
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Partial maps with domain and range: extending Schein's representation [PDF]
The semigroup of all partial maps on a set under the operation of composition admits a number of operations relating to the domain and range of a partial map. Of particular interest are the operations R and L returning the identity on the domain of a map
Stokes, Tim E., Jackson, Marcel
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On Orders In Separable Algebras [PDF]
Introduction. The present note began from the observation that the arguments produced by J-M. Maranda in developing his very interesting theory of representations of groups by automorphisms of modules over Dedekind rings (4, 5) were applicable without essential change to arbitrary orders, instead of just group rings, provided that a suitable ...
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The Weil algebra and the Van Est isomorphism [PDF]
This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra W(A) associated to any Lie algebroid A.
Marius Crainic +9 more
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Boson condensation in topologically ordered quantum liquids [PDF]
Boson condensation in topological quantum field theories (TQFT) has been previously investigated through the formalism of Frobenius algebras and the use of vertex lifting coefficients.
T. Neupert +4 more
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