On filtration of Clifford 𝒜-algebras and localization of 𝒜-modules
| Autor: | B.Y. Yizengaw, Patrice P. Ntumba |
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| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Prime ideal 010102 general mathematics Space (mathematics) 01 natural sciences Natural filtration Algebra Mathematics::Algebraic Geometry Mathematics (miscellaneous) Quadratic equation 0103 physical sciences Filtration (mathematics) Sheaf 010307 mathematical physics 0101 mathematics Algebra over a field Mathematics |
| Zdroj: | Quaestiones Mathematicae. 40:177-195 |
| ISSN: | 1727-933X 1607-3606 |
| Popis: | Let (X, 𝒜) be an algebraized space. We consider sheaves of Clifford Aalgebras (Clifford 𝒜X -algebras, for short) on X associated with arbitrary quadratic 𝒜-modules and study the the natural filtration of Clifford 𝒜-algebras. We show that for every 𝒜-algebra sheaf Ɛ, endowed with a regular filtration, one obtains a new graded 𝒜-algebra sheaf, denoted Gr(Ɛ), which turns out to be 𝒜-isomorphic to Ɛ. Finally, we also consider localization of 𝒜-modules at prime ideal subsheaves and at subsheaves induced by maximal ideals. |
| Databáze: | OpenAIRE |
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