Let $(A,\sigma)$ be a central simple algebra with an orthogonal involution. It is well-known that $O(A,\sigma)$ contains elements of reduced norm $-1$ if and only the Brauer class $A$ trivial. We generalize this statement to Azumaya algebras involution over semilocal rings, show "if" part fails one allows base ring arbitrary.

BACKGROUND Lobular involution, or age-related atrophy of breast lobules, is inversely associated with breast cancer risk, and mammographic breast density (MBD) is positively associated with breast cancer risk. METHODS To evaluate whether lobular involution and MBD are independently associated with breast cancer risk in women with benign breast disease, we performed a nested cohort study among...

Mammary gland involution is characterized by extensive apoptosis of the epithelial cells. At the onset of involution, Stat3 is specifically activated. To address the function of this signaling molecule in mammary epithelial apoptosis, we have generated a conditional knockout of Stat3 using the Cre-lox recombination system. Following weaning, a decrease in apoptosis and a dramatic delay of invol...

During mammary gland involution, the epithelial mesenchymal transition (EMT) process plays an important role in tissue remodelling and in the termination of milk production. Transforming growth factor β (TGFβ) has been known as a central inducer to EMT and contributor to the mammary gland involution. However, the whole mechanism has accomplished the EMT process in mammary gland is still unclear...

We show that the odd-indexed derived Witt groups of a semilocal ring with trivial involution vanish. We show that this is wrong when the involution is not trivial and we provide examples.

The mammary gland undergoes extensive tissue remodeling and cell death at the end of lactation in a process known as involution. We present evidence that the prolactin-activated transcription factor signal transducer and activator of transcription 5a (Stat5a) has a crucial role in the regulation of cell death during mammary gland involution. In a transforming growth factor-alpha transgenic mous...

Mammary gland involution is the most dramatic example of physiological cell death. It occurs through an initial phase of lysosomal-mediated cell death (LCD) followed by mitochondrial-mediated apoptosis. Zinc (Zn) activates both LCD and apoptosis in vitro. The Zn transporter ZnT2 imports Zn into vesicles and mitochondria and ZnT2-overexpression activates cell death in mammary epithelial cells (M...

BACKGROUND Insulin like growth factors (IGFs) and their binding proteins (IGFBPs) are secreted peptides that play major roles in regulating the normal development and maturation of mammary gland. While Igfbp7 has been shown to decrease breast tumor growth, its role in regulating the normal mammary gland development has not been studied. To this end, we generated Igfbp7-null mice and examined th...

Although interleukin-10 (IL-10) is known to contribute to inflammation and pathogenesis in mammalian organs, little is known about its precise role in the mammary gland. We found that IL-10 levels fluctuated during the mouse mammary cycle, showing little expression at the lactation stage and the highest expression at the involution stage. To reveal the effects of IL-10 on involution, expression...