SUPERDECOMPOSABLE PURE-INJECTIVE MODULES AND INTEGRAL GROUP RINGS
Gena Puninski, Vera Puninskaya, Carlo Toffalori
Abstract
Gena Puninski, Vera Puninskaya, Carlo Toffalori
Abstract
We prove that if G is a non-trivial finite group, then the integral group ring ZG possesses a superdecomposable pure-injective module.
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We prove that if G is a non-trivial finite group, then the integral group ring ZG possesses a superdecomposable pure-injective module.
Key concepts: Injective function, Group ring, Group (periodic table), Mathematics, Ring (chemistry), Injective module, Pure mathematics, Physics