About some questions of homological algebra

The work of A. Grothentik published in this brochure is devoted to the theory of the beams - the rapidly developing area of ​​modern algebraic topology, which finds numerous applications in various issues of algebra, geometry and analysis. The author belongs to the number of mathematicians who are most intensively working in this area. The main idea of ​​this work is that the theory of claws with coefficients in the beams is considered within the framework of the homological algebra in general abelean categories. A more detailed presentation of the theory of beams can be found in the Messena monograph published by the publishing house of foreign literature. This brochure is designed for mathematicians - scientists, graduate students and senior students