nicotine-based ionic liquid has been used as a green catalyst for pyridine-catalyzed huisgen reaction. it promoted addition of dimethylacetylenedicarboxylate to aldehydes or n-tosyl imines leading to efficient synthesis of 2-benzoylfumarates and 1-azadienes respectively under pyridine free odorless ionic liquid conditions. the improved results were obtained in terms of enhanced yields, with min...

A very well–covered graph is an unmixed without isolated vertices such that the height of its edge ideal half number vertices. We study these graphs by means Betti splittings and mapping cone constructions. show cover ideals Cohen–Macaulay are splittable. As a consequence, we compute explicitly minimal graded free resolution class prove have homological linear quotients. Finally, conjecture sam...

Nicotine-based ionic liquid has been used as a green catalyst for pyridine-catalyzed Huisgen reaction. It promoted addition of dimethylacetylenedicarboxylate to aldehydes or N-tosyl imines leading to efficient synthesis of 2-benzoylfumarates and 1-azadienes respectively under pyridine free odorless ionic liquid conditions. The improved results were obtained in terms of enhanced yields, with min...

Nicotine-based ionic liquid has been used as a green catalyst for pyridine-catalyzed Huisgen reaction. It promoted addition of dimethylacetylenedicarboxylate to aldehydes or N-tosyl imines leading to efficient synthesis of 2-benzoylfumarates and 1-azadienes respectively under pyridine free odorless ionic liquid conditions. The improved results were obtained in terms of enhanced yields, with min...

Abstract We observe that the k k -dimensional width of an n n -ball in a space form is given by area equatorial -ball. also discuss relationship between widths and lower bounds for free boundary minimal submanifold ball.

Let R=k[x1,…,xn] denote the standard graded polynomial ring over a field k. We study certain classes of equigenerated monomial ideals with property that so-called complementary ideal has no linear relations on generators. then use iterated trimming complexes to deduce Betti numbers for such ideals. Furthermore, using result splitting mapping cones by Miller and Rahmati, we construct minimal fre...