On two dimensional mixed characteristic rings of finite Cohen Macaulay type
Tony J. Puthenpurakal
TL;DR
This paper provides numerous examples of two-dimensional mixed characteristic rings with finite Cohen-Macaulay type, offering detailed descriptions of their indecomposable modules and AR-quivers for many cases.
Contribution
It introduces many new examples of such rings and fully characterizes the indecomposable modules and AR-quivers for a large subclass.
Findings
Numerous new examples of rings with finite Cohen-Macaulay type
Complete descriptions of indecomposable modules for many cases
Computed AR-quivers for a large subclass
Abstract
In this paper we give a bountiful number of examples of two dimensional mixed characteristic rings of finite Cohen Macaulay type. For a large sub-class of these examples we give a complete description of its indecomposable maximal Cohen-Macaulay modules and we also compute its AR-quiver.
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