Results 31 to 40 of about 1,612,373 (342)

Roughness in Lattice Ordered Effect Algebras

open access: yesThe Scientific World Journal, 2014
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
doaj   +1 more source

Lattice-ordered groups generated by an ordered group and regular systems of ideals [PDF]

open access: yesRocky Mountain Journal of Mathematics, 2017
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
semanticscholar   +1 more source

Irreducible highest weight representations of the simple n-Lie algebra [PDF]

open access: yes, 2012
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
core   +1 more source

A Note on Congruences of Infinite Bounded Involution Lattices

open access: yesScientific Annals of Computer Science, 2021
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
doaj   +1 more source

A remark on the extension of the concept of incidence algebras to nonlocally finite partially ordered sets

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
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
doaj   +1 more source

Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture [PDF]

open access: yes, 2016
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
semanticscholar   +1 more source

Partial maps with domain and range: extending Schein's representation [PDF]

open access: yes, 2009
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
core   +1 more source

On Orders In Separable Algebras [PDF]

open access: yesCanadian Journal of Mathematics, 1955
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 ...
openaire   +2 more sources

The Weil algebra and the Van Est isomorphism [PDF]

open access: yes, 2011
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
core   +2 more sources

Boson condensation in topologically ordered quantum liquids [PDF]

open access: yes, 2016
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
semanticscholar   +1 more source

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