A method of analysis of a cast of the upper part of the mouth cavity which allows a comparison of various forms thereof, by the use of five parameters is described. For their calculation, only fiveâ€¦ (More)

We consider pairs of n Ã— n commuting matrices over an algebraically closed field F . For n, a, b (all at least 2) let V(n, a, b) be the variety of all pairs (A,B) of commuting nilpotent matrices suchâ€¦ (More)

In this paper we study zero-divisor graphs of rings and semirings. We show that all zerodivisor graphs of (possibly noncommutative) semirings are connected and have diameter less than or equal to 3.â€¦ (More)

In this paper we characterize invertible matrices over an arbitrary commuta-tive antiring S with 1 and find the structure of GLn(S). We find the number of nilpotent matrices over an entireâ€¦ (More)

We consider the following problem: What are possible sizes of Jordan blocks for a pair of commuting nilpotent matrices? Or equivalently, for which pairs of nilpotent orbits of matrices (underâ€¦ (More)

It is shown that matrices over algebraically closed fields that are farthest apart in the commuting graph must be non-derogatory. Rank-one matrices and diagonalizable matrices are also characterizedâ€¦ (More)

In this paper, diameters of connected components of commuting graphs of GLn(S) are calculated, for an integer n â‰¥ 2 and a commutative antinegative entire semiring S, unless n is a non-prime oddâ€¦ (More)

The Cleft palate-craniofacial journal : officialâ€¦

2001

OBJECTIVE
To determine the functional and morphological compensation of the lack of integrity in the upper part of the oral cavity in newborns with isolated cleft palate. Integrity of the upper partâ€¦ (More)

Let B be a nilpotent matrix and suppose that its Jordan canonical form is determined by a partition Î». Then it is known that its nilpotent commutator NB is an irreducible variety and that there is aâ€¦ (More)