Semistar ascending chain conditions over polynomial rings

Ricerche di Matematica - Let D be an integral domain. G. Picozza associated to a stable semistar operation $$star $$ on D,  a semistar operation $$star _1$$ on the polynomial ring D[X]....     

One‐Pot Synthesis of 3,5‐Disubstituted Pyridin‐2‐ones by Annulation of β‐Keto‐amides with 2‐Dimethylaminomethylene‐1,3‐bis(dimethylimonio)propane Diperchlorate

β‐Keto‐amides react with 2‐dimethylaminomethylene‐1,3‐bis(dimethylimonio)propane diperchlorate salt to give the corresponding 3‐acetyl‐5‐formylpyridin‐2‐ones. The annulation reactions proceed with excellent yields.     

Efficient One-Pot Synthesis of Substituted Pyrido[2,3-d]pyrimidines from Vinamidinium and Chloropropeniminium Salts

A novel and efficient one-pot preparation of 6-substituted pyrido-[2,3-d]pyrimidines by cyclocondensation of 6-amino-1,3-dimethyluracil with symmetrical vinamidinium salts under basic conditions has been developed. Regioselectivity was observed with an unsymmetrical chloropropeniminium salt.     

Regiospecific Synthesis of Disubstituted Pyridin‐2‐ones and Trisubstituted Phenols with Vinamidinium Salts

A highly efficient and versatile method for the synthesis of 3‐acyl‐5‐aryl or arylsulfonylpyridin‐2‐ones and 3‐alkyl‐5‐aryl‐2‐hydroxybenzamides in one step via regiospecific cyclocondensation reaction of β‐keto‐amides with vinamidinium salts is described.     

Semistar ascending chain conditions over power series rings

Ricerche di Matematica - Let D be an integral domain. We associate to a semistar operation $$\star $$ on D, a semistar operation $$*$$ on D[[X]]. We prove that if D satisfies the $$\star _f$$...