Related papers: A noncommutative Bishop peak interpolation-set the…

We extend the Zariski topology on simp A, the finite dimensional simple A-representations, to a non-commutative topology (in the sense of Fred Van Oystaeyen) on rep A, all finite dimensional A-representations, using Jordan-Holder…

We give a simple proof of the Fourier Inversion Theorem, using the methods of nonstandard analysis.

We prove that the non-vanishing conjecture holds for generalized lc pairs with a polarization.

We treat interpolation for various logics.

We establish the ultra-violet finiteness of various classes of noncommutative gauge theories.

We prove an infinitary version of the Brauer-Schur theorem.

We develop the theory of set-indexed families of sets and subsets within the informal Bishop Set Theory BST, a reconstruction of Bishop's theory of sets.

The alternative to the replica procedure, which we call the noncommutative replica procedure, is discussed. The detailed comparison with the standard replica procedure is performed.

In this paper, the notion of $c$-support points of a set in a semitopological cone is introduced. It is shown that any nonempty convex Scott closed bounded set has a $c$-support point in a cancellative $bd$-cone under certain condition. We…

We prove a generalized version of the no-broadcasting theorem, applicable to essentially \emph{any} nonclassical finite-dimensional probabilistic model satisfying a no-signaling criterion, including ones with ``super-quantum'' correlations.…

We show that, if PA has no non-standard models, then P=/=NP. We then give an elementary proof that PA has no non-standard models.

The purpose of this paper is to introduce the notion of noncommutative BiHom-pre-Poisson algebra. Also we establish the bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras and related relevant properties are also…

We prove a variation of Gronwall's lemma.

Several results about the union-closed sets conjecture are presented.

We prove Faltings Finiteness Theorem using Rieffel's classification of the noncommutative tori.

We introduce a class of non-Moufang loops satisfying the Moufang's theorem.

We give a survey on higher invariants in noncommutative geometry and their applications to differential geometry and topology.

We prove an instance of the cyclic sieving phenomenon, occurring in the context of noncrossing parititions for well-generated complex reflection groups.

It is widely believed that via the Seiberg-Witten map, the linearly realized BPS equation in the non-commutative space is related to the non-linearly realized BPS equation in the commutative space in the zero slope limit. We show that the…

The Mishchenko-Fomenko theorem on noncommutative integrability of Hamiltonian systems on a symplectic manifold is extended to the case of noncompact invariant submanifolds.