Projectivity and flatness over the graded ring of normalizing elements

• Datum: 2015
• 1. Verfasser: Guédénon, T.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2015
• Schlagworte: projective module; flat module; bialgebra; smash product; graded ring; normalizing element; weakly semi-invariant element; 16D40; 16W50; 16W30
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/44
• Назва журналу: Algebra and Discrete Mathematics

Let \(k\) be a field, \(H\) a cocommutative bialgebra, \(A\) a commutative left \(H\)-module algebra, \(Hom(H,A)\) the $k$-algebra of the \(k\)-linear maps from \(H\) to \(A\) under the convolution product, \(Z(H,A)\) the submonoid of \(Hom(H,A)\) whose elements satisfy the cocycle condition and \(G...