Introduction The notion of a quasideterminant and a quasiminor of a matrix A = (a ij) with not necessarily commuting entries was introduced in GR1-3]. The ordinary determinant of a matrix with commuting entries can be written (in many ways) as a product of quasiminors. Furthermore, it was noticed in GR1-3, KL, GKLLRT, Mo] that such well-known noncommutative determinants as the Berezinian, the C...

The sorting determinants of glycinin, a soybean (Glycine max) 11S globulin, which mediates protein targeting to the protein storage vacuole (PSV), were investigated in maturing soybean cotyledons by transient expression assays. A C-terminal stretch of 10 amino acids of A1aB1b, a glycinin group I subunit, was sufficient to direct green fluorescent protein (GFP) to the PSV. This peptide may corre...

Methicillin- and gentamicin-resistant strains of Staphylococcus aureus isolated in Dublin hospitals have been classified into groups I, II, and III based on resistance to antimicrobial agents and plasmid profiles. Each group expresses a characteristic level of resistance to gentamicin, tobramycin, and sisomicin. Enzyme assays showed that resistant strains expressed 2"-aminoglycoside phosphotran...

The determinant for complex matrices cannot be extended to quaternionic matrices. Instead, the Study determinant and the closely related q-determinant are widely used. We show that the Study determinant can be characterized as the unique functional which extends the absolute value of the complex determinant and discuss its spectral and linear algebraic aspects. 1. Introduction. Quaternionic lin...

Let $\mathbb Z_n$ denote the cyclic group of order $n$. We show how determinant for $G= \mathbb Z_n \times H$ can be simply written in terms $H$. use this to get a complete description integer determinants Z_2 D_8$ where $D_8$ is dihedral $8$, and Q_8$ $Q_8$ quaternion $8$.

A lattice is called well-rounded if its minimal vectors span the corresponding Euclidean space. In this paper we completely describe well-rounded full-rank sublattices of Z 2 , as well as their determinant and minima sets. We show that the determinant set has positive density, deriving an explicit lower bound for it, while the minima set has density 0. We also produce formulas for the number of...

A lattice is called well-rounded if its minimal vectors span the corresponding Euclidean space. In this paper we completely describe wellrounded full-rank sublattices of Z, as well as their determinant and minima sets. We show that the determinant set has positive density, deriving an explicit lower bound for it, while the minima set has density 0. We also produce formulas for the number of suc...

A lattice is called well-rounded if its minimal vectors span the corresponding Eucildean space. In this paper we completely describe well-rounded full-rank sublattices of Z 2 , as well as their determinant and minima sets. We show that the determinant set has positive density, deriving an explicit lower bound for it, while the minima set has density 0. We also produce formulas for the number of...

As part of a systematic investigation the glycosphingolipids in human tissues, acid and non-acid from thyroid parathyroid glands were isolated characterized with mass spectrometry binding carbohydrate-recognizing ligands, focus on complex compounds. The glycosphingolipid patterns very similar. major sulfatide gangliosides GM3, GD3, GD1a, GD1b, GT1b Neu5Ac-neolactotetraosylceramide, globotriaosy...