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math.RT2023
Summand-injectivity of interval covers and monotonicity of interval resolution global dimensions
Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada
Recently, there is growing interest in the use of relative homology algebra to develop invariants using interval covers and interval resolutions (i.e., right minimal approximations…
math.RT2023
Fans and polytopes in tilting theory II: -fans of rank 2
Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2
The -fan of a finite dimensional algebra is a fan in its real Grothendieck group defined by tilting theory. We give a classification of complete -fans of rank 2. More explici…