Gradings and graded linear maps on algebras
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Antonio Ioppolo
Abstract
Let A be a superalgebra over a field F of characteristic zero. We prove tight relations between graded automorphisms, pseudoautomorphisms, superautomorphisms and K-gradings on A, where K is the Klein group. Moreover, we investigate the consequences of such connections within the theory of polynomial identities. In the second part we focus on the superalgebra
Funding statement: Antonio Ioppolo was supported by GNSAGA-INDAM and Progetti di Ateneo 2023, UNIVAQ. Fabrizio Martino was supported by GNSAGA-INDAM.
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Articles in the same Issue
- Frontmatter
- Rational points on a class of cubic hypersurfaces
- On fractional inequalities on metric measure spaces with polar decomposition
- Quantitative weighted estimates for the multilinear pseudo-differential operators in function spaces
- The 𝐿𝑝 restriction bounds for Neumann data on surface
- Quasi-triangular, factorizable Leibniz bialgebras and relative Rota–Baxter operators
- Big pure projective modules over commutative noetherian rings: Comparison with the completion
- Any Sasakian structure is approximated by embeddings into spheres
- GIT quotient of holomorphic foliations on ℂℙ2 of degree 2 and quartic plane curves
- The stable category of monomorphisms between (Gorenstein) projective modules with applications
- Gradings and graded linear maps on algebras
- A note on conjugacy of supplements in soluble periodic linear groups
- Discrete Ω-results for the Riemann zeta function
- Is addition definable from multiplication and successor?
- Hausdorff dimension of removable sets for elliptic and canceling homogeneous differential operators in the class of bounded functions
- Statistics of ranks, determinants and characteristic polynomials of rational matrices
- Controllability and diffeomorphism groups on manifolds with boundary
