Rainer Schulz's research while affiliated with National University of Singapore and other places

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Publication (1)

Finite Generation of the Extension Algebra Ext(M, M)
Article
  • Dec 1995
For a module M Over an Artin algebra R, we discuss the question of whether the Yoneda extension algebra Ext(M, M) is finitely generated as an algebra. We give an answer for bounded modules M. (These are modules whose syzygies have direct summands of bounded lengths.)
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Citations

... This conjecture is known to be true for (i) any block of a group ring of a finite group [Ev, Go, V], (ii) any block of a finite dimensional cocommutative Hopf algebra [FS], (iii) finite dimensional selfinjective algebras of finite representation type over an algebraically closed field [GSS1,Sc], and (iv) a finite dimensional monomial algebra [GSS2]. ...
Reference: Support varieties for modules and complexes
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