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math.KT2021
Duality pairs, generalized Gorenstein modules, and Ding injective envelopes
James Gillespie, Alina Iacob
Let be a general ring. Duality pairs of -modules were introduced by Holm-Jorgensen. Most examples satisfy further properties making them what we call semi-complete duality p…
math.KT2018
Tate-Betti and Tate-Bass numbers
Edgar Enochs, Sergio Estrada, Alina Iacob
We define Tate-Betti and Tate-Bass invariants for modules over a commutative noetherian local ring R. Then we show the periodicity of these invariants provided that R is a hypersur…