2 citations · 3 across the 5 of their papers we have counts for
6 papers
On Almost Armendariz Rings
Sushma Singh, Om Prakash
In this paper, we introduce the notion of almost Armendariz ring which is the generalization of Armendariz ring and discuss some of its properties. We prove that a ring R is almost…
Some new results on Gröbner-Shirshov bases
L. A. Bokut, Yuqun Chen, K. P. Shum
In this survey article, we report some new results of Gröbner-Shirshov bases, including new Composition-Diamond lemmas and some applications of some known Composition-Diamond lemma…
Markov and Artin normal form theorem for braid groups
L. A. Bokut, V. V. Chaynikov, K. P. Shum
In this paper we will present the results of Artin--Markov on braid groups by using the Groebner--Shirshov basis. As a consequence we can reobtain the normal form of Artin--Markov-…
Rosso-Yamane Theorem on PBW basis of
Yuqun Chen, Hongshan Shao, K. P. Shum
Let be the Drinfeld-Jimbo quantum group of type . In this paper, by using Groebner-Shirshov bases, we give a simple (but not short) proof of the Rosso-Yamane Theore…
Classification of 5-dimensional MD-algebras having commutive derived ideals
Le Anh Vu, Kar Ping Shum
In this paper, we study a subclass of the class of MD-algebras, i.e., the class of solvable real Lie algebras such that the K-orbits of its corresponding connected and simply conne…
On Radicals of Module Coalgebras
Yuqun Chen, Siu-Hung Ng, Kar-Ping Shum
We introduce the notion of idempotent radical class of module coalgebras over a bialgebra B. We prove that if R is an idempotent radical class of B-module coalgebras, then every B-…