We study polynomial identities satisfied by the mutation product on the underlying vector space of an associative algebra , where , are fixed elements of . We simplify known results for identities in degree 4, proving that only two identities are necessary and sufficient to generate them all; in degree 5, we show that adding one new identity suffices; in degree 6, we demonstrate the existence of a significant number of new identities, which induce us to conjecture that the variety generated by mutation algebras of associative algebras is not finitely based.
View Article and Find Full Text PDFBackground: Hemangioblastomas are vascular tumors, of benign behavior, that originate in the central nervous system. Supratentorial hemangioblastomas are extremely rare and are generally associated with Von Hippel-Lindau disease (VHL). The involvement of structures by contiguity, such as blood vessels or meninges, is something exceptional.
View Article and Find Full Text PDFIntroduction: Traumatic upper cervical spine injuries are frequently associated with high-energy trauma. The potential injuries to vital organs associated to a possible neurological damage marks the severity of this pathology. The neurological structures can be affected by a primary injury, spinal cord, cranial nerves and spinal nerves; or secondary to a vascular compromise, mainly the vertebral arteries.
View Article and Find Full Text PDFSpontaneous intracranial hypotension syndrome (SIH) is a rare condition. The main symptom is orthostatic headache, although other symptoms such as vegetative symptoms, meningism, or focal neurological deficits may appear. The most common cause is a cerebrospinal fluid leak, usually traumatic.
View Article and Find Full Text PDFBackground: Glioblastoma with primitive neuronal components (GB/PNC) is an extremely rare type of glioblastoma characterized by presenting histological and cytogenetic features of both entities. The mixed nature of these tumors limits the imaging diagnosis and supposes a therapeutic dilemma.
Case Description: We present the case of a 77-year-old female with a GB/PNC who is treated with surgery and adjuvant radiochemotherapy according to the STUPP protocol, where an abnormal uptake of 5-aminolevulinic acid (5-ALA) is evident during surgery in probable relation to the mixed nature of GB/PNC.