On the construction of bimodule resolutions with the help of the Happel lemma

• DOI: 10.1007/s10958-010-0139-z
• Publication Date: 2010-11-09T07:16:38Z
• Authors: Yu. V. Volkov; A. I. Generalov; S. O. Ivanov
• Keywords: 0101 mathematics; 01 natural sciences

A criterion for the sequence obtained with the help of Happel’s lemma to be a minimal bimodule projective resolution is proved. This criterion is used to construct a bimodule resolution for a family of self-injective algebras of tree class D 4. Bibliography: 6 titles.