Matrix rings of finite degree of nilpotency

Differential Polynomial Rings of Triangular Matrix Rings

The strong nilpotency index of a matrix

It is known that strongly nilpotent matrices over a division ring are linearly triangularizable. We describe the structure of such matrices in terms of the strong nilpotency index. We apply our results on quasi-translation x+H such that JH has strong nilpotency index two.

N-topo nilpotency in fuzzy neighborhood rings

We introduce the notion of N-topo nilpotent fuzzy set in a fuzzy neighborhood ring and develop some fundamental results. Here we show that a fuzzy neighborhood ring is locally inversely bounded if and only if for all 0 < α < 1, the α-level topological rings are locally inversely bounded. This leads us to prove a characterization theorem which says that if a fuzzy neighborhood ring on a division...

ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS

Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of ...

Constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3

Article history: Received 9 January 2016 Received in revised form 15 June 2016 Accepted 25 August 2016 Available online xxxx Communicated by W. Cary Huffman