Results 1 to 10 of about 34,134 (137)
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time [PDF]
, 2012 Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras $A_N$, $B_N$, $C_N$, $G_2$, $D_3$, $A_1^{(1)}$, $A_2^{(2)}$, $D^{(2)}_N$ these systems are proved to be ...
Garifullin, Rustem +2 more
core +5 more sources
Conservative median algebras and semilattices [PDF]
, 2015 We characterize conservative median algebras and semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a dual equivalence between median algebras and certain topological structures, we obtain ...
Couceiro, Miguel +2 more
core +4 more sources
A survey on maximal green sequences
, 2020 Maximal green sequences appear in the study of Fomin-Zelevinsky's cluster algebras. They are useful for computing refined Donaldson-Thomas invariants, constructing twist automorphisms and proving the existence of theta bases and generic bases.
Demonet, Laurent, Keller, Bernhard
core +1 more source
Spectra of Tukey types of ultrafilters on Boolean algebras [PDF]
, 2015 Extending recent investigations on the structure of Tukey types of ultrafilters on $\mathcal{P}(\omega)$ to Boolean algebras in general, we classify the spectra of Tukey types of ultrafilters for several classes of Boolean algebras, including interval ...
Brown, Jennifer A., Dobrinen, Natasha
core +3 more sources
Axiomatic homotopy theory for operads [PDF]
, 2002 We give sufficient conditions for the existence of a model structure on operads in an arbitrary symmetric monoidal model category. General invariance properties for homotopy algebras over operads are deduced.Comment: 29 pages, revised for ...
Berger, Clemens, Moerdijk, Ieke
core +5 more sources
Unimodular homotopy algebras and Chern-Simons theory [PDF]
, 2015 Quantum Chern-Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L-infinity) algebra g, the vector space H^*(M) \otimes g has the structure of an ...
Braun, Christopher, Lazarev, Andrey
core +3 more sources
MV-algebras freely generated by finite Kleene algebras [PDF]
, 2013 If V and W are varieties of algebras such that any V-algebra A has a reduct U(A) in W, there is a forgetful functor U: V->W that acts by A |-> U(A) on objects, and identically on homomorphisms.
Aguzzoli, Stefano +2 more
core +1 more source
Logics of formal inconsistency arising from systems of fuzzy logic
, 2014 This paper proposes the meeting of fuzzy logic with paraconsistency in a very precise and foundational way. Specifically, in this paper we introduce expansions of the fuzzy logic MTL by means of primitive operators for consistency and inconsistency in ...
Coniglio, Marcelo +2 more
core +1 more source
Left-induced model structures and diagram categories [PDF]
, 2014 We prove existence results a la Jeff Smith for left-induced model category structures, of which the injective model structure on a diagram category is an important example.
Bayeh, Marzieh +5 more
core +2 more sources
On some properties of LS algebras
, 2018 The discrete LS algebra over a totally ordered set is the homogeneous coordinate ring of an irreducible projective (normal) toric variety. We prove that this algebra is the ring of invariants of a finite abelian group containing no pseudo-reflection ...
Chirivì, Rocco
core +1 more source