An ideal I on a cardinal κ is called rigid if all automorphisms of P (κ)/I are trivial. An ideal is called μ-minimal if whenever G ⊆ P (κ)/I is generic and X ∈ P (μ)V [G] \ V , it follows that V [X] = V [G]. We prove that the existence of a rigid saturated μ-minimal ideal on μ+, where μ is a regular cardinal, is consistent relative to the existence of large cardinals. The existence of such an i...

Abstract: A series of N-[2-(8-metoxy-2H-chromen-2-one)ethyl] piperazinyl quinolones containing a carbonyl related functional groups (oxo or oxyimino) on the ethyl spacer of coumarin and piperazin rings was synthesized and studied for their antibacterial and antifungal activities . The synthesis of compounds (6a-6l) was achieved through the versatile and efficient synthetic route that involved r...

Abstract: A series of N-[2-(8-metoxy-2H-chromen-2-one)ethyl] piperazinyl quinolones containing a carbonyl related functional groups (oxo or oxyimino) on the ethyl spacer of coumarin and piperazin rings was synthesized and studied for their antibacterial and antifungal activities . The synthesis of compounds (6a-6l) was achieved through the versatile and efficient synthetic route that involved r...

A finite group G is said to have the nilpotent decomposition property (ND) if for every element α of integral ring Z[G] one has that αe also belong Z[G], primitive central idempotent e rational algebra Q[G]. Results Hales, Passi and Wilson, Liu Passman show this fundamental in investigations multiplicative Jordan rings. If all its subgroups ND then showed SSN, is, H, Y N G, N◁H Y⊆H N⊆Y or YN no...

A broad range of acyclic primary and secondary 2,4,6-triisopropylbenzoate (TIB) esters have been used in lithiation-borylation reactions, but cyclic TIB not. We studied the use reactions looked at effect ring size (3- → 6-membered rings) on three key steps protocol: deprotonation, borylation 1,2-metalate rearrangement. Although all rings sizes could be deprotonated, cyclohexyl case was impracti...

Two kinds of ladder-type conjugated polymers were concisely synthesized by the formation single-stranded via Stille cross-couplings, followed nitrogen-directed electrophilic borylations at electron-rich aromatic rings. The resulting BN-annulated show good film-forming behaviors and high air thermal stability. Their structurally shape-persistent rigid backbones render them with π-extended conjug...

In this article, we describe the process of binding riboflavin to a simple tetradents ligand substituted in α- position from TPAs types, by reacting bromotetraacetate with TPA one pyridine rings nitrile group and two other halogen atoms. This type ligands showed very important properties for activation transfer oxygen substrate presence iron salt. After were obtained, was reduced an amine where...