We study chains in an H-closed topological partially ordered space. We give sufficient conditions for a maximal chain L in an H-closed topological partially ordered space such that L contains a maximal (minimal) element. Also we give sufficient conditions for a linearly ordered topological partially ordered space to be H-closed. We prove that any H-closed topological semilattice contains a zero...

We characterize the derivation d : A→ ΩDer(A) by a universal property introducing a new class of bimodules. Abridged English Version In this Note, A denotes an associative algebra over K = R or C with a unit 1l. In the Note [5], a graded differential algebra ΩDer(A) with Ω 0 Der(A) = A was introduced with the notation ΩD(A). It is one of the aims of this Note to show that, by introducing a new ...

Abstract In the context of partially ordered vector spaces one encounters different sorts order convergence and topologies. This article investigates these notions their relations. particular, we study relate topology presented by Floyd, Vulikh Dobbertin, bound studied Namioka concept given in works Abramovich, Sirotkin, Wolk Vulikh. We prove that considered topologies disagree for all infinite...