Projectivity and flatness over the graded ring of normalizing elements

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2015
• 1. Verfasser: Guédénon, T.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2015
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/154259
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Projectivity and flatness over the graded ring of normalizing elements / T. Guédénon // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 172-192 . — Бібліогр.: 14 назв. — англ.

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 any subgroup of the monoid Z(H,A). We giv...