LetA = âŠ• iâ‰¥0 Ai be a standard graded ArtinianK-algebra, where char K = 0. Then A has the Weak Lefschetz property if there is an element l of degree 1 such that the multiplication Ã—l : Ai â†’ Ai+1 hasâ€¦ (More)

The safety fieldbus transmits critical information which is related with an request to stop a power of machine from an intrusion of a hazardous area. Therefore, the safety fieldbus should have aâ€¦ (More)

2005 IEEE International Conference on Industrialâ€¦

2005

In this paper, we consider the problem of attitude control of a helicopter experimental system. We design a nonlinear controller which combines nonlinear adaptive robust control and nonlinearâ€¦ (More)

Let A be a standard graded Artinian K-algebra, with char K = 0. We prove the following. 1. A has the Weak Lefschetz Property (resp. Strong Lefschetz Property) if and only if Gr(z)(A) has the Weakâ€¦ (More)

Let A = âŠ• i=0Ai be a graded Artinian K-algebra, where Ac 6= (0) and charK = 0. (The grading may not necessarily be standard.) Then A has the strong Lefschetz property if there exists an element g âˆˆâ€¦ (More)

Let R = K[x1, x2, x3, x4] be the polynomial ring over a field of characteristic zero. For the ideal (xa1 , x b 2, x c 3, x d 4) âŠ‚ R, where at least one of a, b, c and d is equal to two, we prove thatâ€¦ (More)