On the cohomology of one-relator associative algebras
Let F be a free (associative) algebra over a field k and \(a\in F\setminus k\). If A is the (two-sided) principal ideal generated by a, then \(R=F/A\) is naturally called one-relator algebra. Unlike the commutative setting even nontriviality of R (meaning that \(0\neq 1\) in R) is a difficult question which is still not answered in general. So one-relator algebras are very interesting objects and the author is one of the leaders in their study. In this paper he gives a lot of simplified proofs of various authors and obtains new results, which are concerned primarily with the homological characterization of R. (There is a misprint on page 86, line 11 from the bottom, where B should be replaced by \({\mathfrak b}.)\)
scientific article; zbMATH DE number 3944065