Simple associative algebras with finite \(\mathbb{Z}\)-grading
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Publication:1373208
DOI10.1006/jabr.1997.7087zbMath0899.16023OpenAlexW2036071481MaRDI QIDQ1373208
Publication date: 15 December 1997
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1997.7087
orthogonal idempotentssimple graded algebrassimple graded Lie algebrasstrict Peirce systemssystems of submodules
Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50)
Related Items (12)
Classification of naturally graded nilpotent associative algebras ⋮ Finite \(\mathbb{Z}\)-gradings of simple associative algebras. ⋮ Graded simple modules and loop modules ⋮ ℤ-gradings on the Grassmann algebra over infinite fields: Graded identities and central polynomials ⋮ Graded modules over simple Lie algebras ⋮ Group gradings on associative algebras ⋮ Inner ideals of Lie algebras of skew elements of prime rings with involution ⋮ The Lie Inner Ideal Structure of Associative Rings Revisited ⋮ Unnamed Item ⋮ Gradings induced by nilpotent elements ⋮ Finite \(\mathbb Z\)-gradings of Lie algebras and symplectic involutions. ⋮ Group Gradings on Finite Dimensional Lie Algebras
Cites Work
- A class of nonassociative algebras with involution containing the class of Jordan algebras
- Graded associative algebras and Grothendieck standard conjectures
- Group-Graded Rings, Smash Products, and Group Actions
- LIE ALGEBRAS WITH AN ALGEBRAIC ADJOINT REPRESENTATION
- LIE ALGEBRAS WITH A FINITE GRADING
- On G-Systems and G-Graded Rings
- Models of isotropic simple lie algebras
- Elementary groups and invertibility for kantor pairs
- Structurable triples, Lie triples, and symmetric spaces
- On Graded Rings with Finiteness Conditions
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