http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
THE RANDI$\acute{C}$ INDEX OF SOME DENDRIMER NANOSTARS
Madanshekaf, Ali The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.5
Among the numerous topological indices considered in chemical graph theory, only a few have been found noteworthy in practical application, Randi$\acute{c}$ index is one of them. The dendrimer nanostars is a synthesized molecule built up from branched unit called monomers. In this article, we compute the Randi$\acute{c}$ index of two types of polymer dendrimers and a fullerene dendrimer.
THE RANDIC INDEX OF SOME DENDRIMER NANOSTARS
Ali Madanshekaf 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.5
Among the numerous topological indices considered in chemical graph theory, only a few have been found noteworthy in practical application, Randic index is one of them. The dendrimer nanostars is a synthesized molecule built up from branched unit called monomers. In this article, we compute the Randic index of two types of polymer dendrimers and a fullerene dendrimer.
REGULAR INJECTIVITY AND EXPONENTIABILITY IN THE SLICE CATEGORIES OF ACTIONS OF POMONOIDS ON POSETS
Farsad, Farideh,Madanshekaf, Ali Korean Mathematical Society 2015 대한수학회지 Vol.52 No.1
For a pomonoid S, let us denote Pos-S the category of S-posets and S-poset maps. In this paper, we consider the slice category Pos-S/B for an S-poset B, and study some categorical ingredients. We first show that there is no non-trivial injective object in Pos-S/B. Then we investigate injective objects with respect to the class of regular monomorphisms in this category and show that Pos-S/B has enough regular injective objects. We also prove that regular injective objects are retracts of exponentiable objects in this category. One of the main aims of the paper is to draw attention to characterizing injectivity in the category Pos-S/B under a particular case where B has trivial action. Among other things, we also prove that the necessary condition for a map (an object) here to be regular injective is being convex and present an example to show that the converse is not true, in general.
REGULAR INJECTIVITY AND EXPONENTIABILITY IN THE SLICE CATEGORIES OF ACTIONS OF POMONOIDS ON POSETS
Farideh Farsad,Ali Madanshekaf 대한수학회 2015 대한수학회지 Vol.52 No.1
For a pomonoid S, let us denote Pos-S the category of S-posets and S-poset maps. In this paper, we consider the slice cate- gory Pos-S/B for an S-poset B, and study some categorical ingredients. We first show that there is no non-trivial injective object in Pos-S/B. Then we investigate injective objects with respect to the class of regu- lar monomorphisms in this category and show that Pos-S/B has enough regular injective objects. We also prove that regular injective objects are retracts of exponentiable objects in this category. One of the main aims of the paper is to draw attention to characterizing injectivity in the cate- gory Pos-S/B under a particular case where B has trivial action. Among other things, we also prove that the necessary condition for a map (an ob- ject) here to be regular injective is being convex and present an example to show that the converse is not true, in general.
On Generators in the Category of Actions of Pomonoids on Posets and its Slices
Farideh, Farsad,Ali, Madanshekaf Department of Mathematics 2022 Kyungpook mathematical journal Vol.62 No.4
Where S is a pomonoid, let Pos-S be the category of S-posets and S-poset maps. We start off by characterizing the pomonoids S for which all projectives in this category are either generators or free. We then study the notions of regular injectivity and weakly regularly d-injectivity in this category. This leads to homological classification results for pomonoids. Among other things, we get find relationships between regular injectivity in the slice category Pos-S/BS, for any S-poset BS, and generators and cyclic projectives in Pos-S.