[PDF][PDF] Derived category methods in commutative algebra

LW Christensen, HB Foxby, H Holm - preprint, 2012 - math.ttu.edu
Homological algebra originated in late 19th century topology. Homological studies of
algebraic objects, such as rings and modules, only got under way in the middle of the 20th …

One-sided Gorenstein rings

LW Christensen, S Estrada, L Liang… - Forum …, 2024 - degruyter.com
Abstract Distinctive characteristics of Iwanaga–Gorenstein rings are typically understood
through their intrinsic symmetry. We show that several of those that pertain to the Gorenstein …

When do the Gorenstein Injective Modules and Strongly Cotorsion Modules Coincide?

J Wang, H Li - Bulletin of the Iranian Mathematical Society, 2023 - Springer
For a left Noetherian ring R, if the supremum of flat dimensions of all injective left R-modules
is finite, we prove that strongly cotorsion left R-modules coincide with Gorenstein injective …

Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules

A Hajizamani - Mathematics Interdisciplinary Research, 2024 - mir.kashanu.ac.ir
‎ The representation theory of groups is one of the most interesting examples of the
interaction between physics and pure mathematics‎,‎ where group rings play the main role‎.‎ …