A method is described for constructing the minimal projective resolution of an algebra considered as a bimodule over itself. The method applies to an algebra presented as the quotient of a tensor algebra over a separable algebra by an ideal ลฝ of relations that is either homogeneous or admissible wit
Minimal Injective Resolutions of Algebras with Multiplicative Bases
โ Scribed by Hideo Sato
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 315 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In 4 , H. Srinivasan constructs an algebra structure on the minimal free resolution of the cyclic module RrI k for an ideal I of a commutative ring R generated by a regular sequence and for any k G 1. In this note we provide a short proof of the existence of an algebra structure on the complex above
It is routine to check that I 3 s QI 2 and แ I : Q. We will show
INTRODUCTION AND STATEMENTS OF RESULTS ## w x Let G be an augmented algebra over a field k. In his paper 1 , Anick supposes given a set S of generators for G, together with a grading e: S ยช Z q and a total orderfor S, such that S is well ordered in each 0 ร 4 degree. We will refer to the triple S
## dedicated to william heinzer on the occasion of his 60th birthday Let R m be a Cohen-Macaulay local ring and let I be an m-primary ideal. We introduce ideals of almost minimal mixed multiplicity which are analogues of ideals studied by J. Sally [Compositio Math. 40 (1980), 167-175]. The main th