The automorphism group and the Picard group of a monomial algebra*

DOI10.1080/00927879908826466zbMath0934.16017OpenAlexW1967667541MaRDI QIDQ4237124

Manuel Saorín, Francisco Guil-Asensio

Publication date: 9 April 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826466

zbMATH Keywords

Picard groupsmonomial algebrasacyclic quiversgroups of inner automorphismsWedderburn-Malcev decompositionsbasic finite-dimensional split algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Automorphisms and endomorphisms (16W20) Picard groups (14C22)

Related Items (7)

BINOMIAL ALGEBRAS ⋮ On isoclasses of maximal subalgebras determined by automorphisms ⋮ Binomial Rings ⋮ Automorphism groups of trivial extensions. ⋮ THE LIE ALGEBRA STRUCTURE ON THE FIRST HOCHSCHILD COHOMOLOGY GROUP OF A MONOMIAL ALGEBRA ⋮ \(K\)-automorphisms of a weak-crossed product \(F\)-algebra over a Galois extension \(K/F\) ⋮ The Lie algebra structure of the first Hochschild cohomology group for monomial algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Tame algebras and integral quadratic forms
• Linear algebraic groups
• The group of automorphisms of a commutative algebra
• The group of outer automorphisms and the Picard group of an algebra
• Algebras and their automorphism groups

This page was built for publication: The automorphism group and the Picard group of a monomial algebra^*