We present the one-loop effective action of a quantum scalar field with DSR1 space-time symmetry as a sum over field modes. The effective action has real and imaginary parts and manifest charge conjugation asymmetry, which provides an alternative theoretical setting to the study of the particle-antiparticle asymmetry in nature. We report here a recent result concerning the one-loop effective ac...

Theorem 1. Let L be a minimal countable standard transitive model of ZFC + V =L. There exists a real x ng having the following three properties: (1) x ng / ∈ L. (2) L[x ng ] satisfies ZFC. (3) In the following sense, x ng is not generic over any outer model of L: Assume that V is transitive and contains the same ordinals as L, and that P is a V-amenable partial ordering. Let 0 be the forcing re...

Given a Brouwerian complete lattice (L,≤) and two referential sets K and E, and using a fuzzy relation R ∈ L which is reflexive and symmetric, certain fuzzy relations Ĥ ∈ L are characterized as solutions of X C R = X. These solutions Ĥ can be determinated by means of the L-fuzzy concepts associated with the K-labeled L-fuzzy context (L,K,E,E,R).

The commutation relation $$KL = LK$$ between finite convolution integral operator K and differential L has implications for spectral properties of K. We characterize all operators admitting this relation. Our analysis places no symmetry constraints on the kernel extending well-known results Morrison real self-adjoint operators.

the paper deals with special types of $l$-ordered sets, $l$-fuzzy complete lattices, and fuzzy directed complete posets.first, a theorem for constructing monotone maps is proved, a characterization for monotone maps on an $l$-fuzzy complete lattice is obtained, and it's proved that if $f$ is a monotone map on an $l$-fuzzy complete lattice $(p;e)$, then the least fixpoint of $f$ is meet of ...