Cover Image

Interplay between $\mathbb{Z}_2$-gradings and automorphisms in the Grassmann algebra: a survey

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Guimarães, Alan
Format:	Preprint
Published:	2025
Subjects:	Rings and Algebras 15A75, 16W50, 16W55, 16R99
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Aut-stable subspaces of Grassmann algebras
by: Demir, Mithat Konuralp, et al.
Published: (2025)

Graded group actions and generalized $H$-actions compatible with gradings
by: Gordienko, A. S.
Published: (2023)

On infinite dimensional algebras with regular gradings
by: Centrone, Lucio, et al.
Published: (2025)

Gradings, graded identities, $*$-identities and graded $*$-identities of an algebra of upper triangular matrices
by: Parada, Jonatan Andres Gomez, et al.
Published: (2024)

On the identities and cocharacters of the algebra of $3 \times 3$ matrices with orthosymplectic superinvolution
by: Accomando, Sara
Published: (2024)

Hook Theorem for Superalgebras with Superinvolution or Graded Involution
by: Sviridova, Irina, et al.
Published: (2025)

On finite dimensional regular gradings
by: Centrone, Lucio, et al.
Published: (2025)

Primeness property for regular gradings
by: Centrone, Lucio, et al.
Published: (2026)

Minimal varieties of algebras with graded involution and quadratic growth
by: Cota, Wesley Quaresma, et al.
Published: (2025)

Homogeneous involution on graded division algebras and their polynomial identities
by: Yasumura, Felipe Yukihide
Published: (2022)

A negative answer to a Bahturin-Regev conjecture about regular algebras in positive characteristic
by: Centrone, Lucio, et al.
Published: (2024)

On Jordan superderivations and Jordan super-biderivations of trivial extensions and triangular matrix rings
by: Cheraghpour, Hassan, et al.
Published: (2024)

Finite domination and Novikov homology over strongly $\mathbb{Z}^2$-graded rings
by: Huettemann, Thomas, et al.
Published: (2022)

Affine super Yangians and deformed double current superalgebras
by: Guay, Nicolas, et al.
Published: (2024)

PI Artin--Schelter regular algebras of dimension 3 are unique factorization rings
by: Liu, Silu, et al.
Published: (2026)

On the colength sequence of algebras with graded involution
by: Cota, Wesley Quaresma, et al.
Published: (2025)

On Regular Quantum Commutative Algebras
by: Bahturin, Yuri, et al.
Published: (2026)

Codimensions of algebras with pseudoautomorphism and their exponential growth
by: Campedel, Elena, et al.
Published: (2024)

The Nilpotency of the Nil Metric $\mathbb{F}$-Algebras
by: de França, Antonio
Published: (2025)

Quadratic codimension growth and minimal varieties of unitary algebras with superinvolution
by: Cota, Wesley Quaresma, et al.
Published: (2026)

Group gradings on classical Lie superalgebras
by: Hornhardt, Caio De Naday, et al.
Published: (2025)

Cocharacters of generalized polynomial identities
by: Argenti, Sebastiano, et al.
Published: (2025)

Naturally graded p-filiform associative algebras
by: Karimjanov, I. A.
Published: (2024)

Naturally graded nilpotent associative algebras of nilindex $n-3$
by: Karimjanov, I. A.
Published: (2024)

Automorphisms of locally string algebras
by: Ford, Sarafina
Published: (2025)

Taft algebra actions on preprojective algebras
by: Gaddis, Jason, et al.
Published: (2024)

Graded identities for matrix algebras of order two over a finite field
by: Diniz, Diogo, et al.
Published: (2026)

Non-associative versions of Hilbert's basis theorem
by: Bäck, Per, et al.
Published: (2024)

Upper triangular matrices with superinvolution: identities and images of multilinear polynomials
by: Campedel, Elena, et al.
Published: (2025)

Embedding theorems as a bridge between supertraces and supergeometry
by: Almeida, Charles, et al.
Published: (2025)

A linear algebra approach to graded Frobenius algebras
by: Dascalescu, Sorin, et al.
Published: (2025)

Picard groups of quasi-Frobenius algebras and a question on Frobenius strongly graded algebras
by: Dascalescu, Sorin, et al.
Published: (2023)

On the asymptotic behaviour of the graded-star-codimension sequence of upper triangular matrices
by: Diniz, Diogo, et al.
Published: (2024)

The algebraic $K$-theory of the projective line associated with a strongly $\mathbb{Z}$-graded ring
by: Huettemann, Thomas, et al.
Published: (2018)

On homogeneous involutions on matrix algebras
by: Garcia, Micael Said, et al.
Published: (2026)

Varieties of group-graded algebras of proper central exponent greater than two
by: Benanti, F. S., et al.
Published: (2025)

Realization of graded matrix algebras as Leavitt path algebras
by: Vas, Lia
Published: (2019)

Group gradings on triangularizable algebras
by: Schützer, Waldeck, et al.
Published: (2023)

Images of Multilinear Polynomials in the Algebra of Finitary Matrices Contain Trace Zero Matrices
by: Vitas, Daniel
Published: (2021)

Group gradings on finite dimensional incidence algebras
by: Santulo Jr., Ednei A., et al.
Published: (2019)