A bstract We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline observer. The is von Neumann Type II 1 . There natural notion entropy state such algebra. maximum state, which corresponds empty and any semiclassical algebras agrees, up additive constant independent expected generalized S gen = ( A/ 4 G N ) + out An ar...

We describe an algorithm for classifying the closed subsets of a root system, up to conjugation by associated Weyl group. Our is implemented in language computer algebra system GAP 4. discuss implementation and give runtimes on some sample inputs. The classification irreducible closely related regular subalgebras, inner automorphism, corresponding simple Lie algebra. show how obtain subalgebras...

Some Lie algebra analogues of Schur's theorem and its converses are presented. As a result, it is shown that for a capable Lie algebra L we always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- porting our results.

In this paper we characterize hyper MV -algebras in which 0 or1 are scalar elements . We prove that any nite hyper MV -algebra that 0is a scaler element in it, is an MV -algebra. Finally we characterize hyperMV -algebras of order 2 and order 3.

Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the semigroup algebra $M_a(S)$ of a locally compact topological foundationsemigroup with identity.

A general notion of completely monotone functionals on an ordered Banach algebra B into a proper H*-algebra A with an integral representation for such functionals is given. As an application of this result we have obtained a characterization for the generalized completely continuous monotone functions on weighted foundation semigroups. A generalized version of Bochner’s theorem on foundation se...

In this paper we show that a quadratic lagrangian, with no constraints, containing ordinary time derivatives up to the order $m$ of $N$ dynamical variables, has $2mN$ symmetries consisting in translation variables solutions equations motion. We construct explicitly generators these transformations and prove they satisfy Heisenberg algebra. also analyse other specific cases which are not include...

the aim of this paper is to extend results established by h. onoand t. kowalski regarding directly indecomposable commutative residuatedlattices to the non-commutative case. the main theorem states that a residuatedlattice a is directly indecomposable if and only if its boolean center b(a)is {0, 1}. we also prove that any linearly ordered residuated lattice and anylocal residuated lattice are d...