On the lengths of group algebras of finite abelian groups in the modular case
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Publication:5863506
DOI10.1142/S0219498822501171zbMath1504.13019OpenAlexW3126174267MaRDI QIDQ5863506
Mikhail Khrystik, O. V. Markova, Alexander E. Guterman
Publication date: 1 June 2022
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498822501171
Endomorphism rings; matrix rings (16S50) Finite abelian groups (20K01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)
Related Items (6)
On the length of the group algebra of the dihedral group in the semi-simple case ⋮ On the lengths of group algebras of finite abelian groups in the semi-simple case ⋮ An example of length computation for a group algebra of a noncyclic abelian group in the modular case ⋮ On the lengths of matrix incidence algebras with radicals of square zero ⋮ The lengths of group algebras of small-order groups ⋮ Algebras of slowly growing length
Uses Software
Cites Work
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- Some constructions of linearly optimal group codes
- An upper bound for the length of a finite-dimensional algebra
- Ideal representation of Reed-Solomon and Reed-Muller codes
- Group ring ideals related to Reed-Muller codes
- The lengths of group algebras of small-order groups
- On the relationship between the length of an algebra and the index of nilpotency of its Jacobson radical.
- Basic Reed-Muller codes as group codes
- The length function and matrix algebras
- Upper bound for the length of commutative algebras
- The Structure of the Group Ring of a p-Group Over a Modular Field
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