Weining Chen, Gaohua Tang, Huadong Su
Abstract
Ring extensions are a well-studied topic in ring theory. In this paper, we study the structure of the Gauss extension of a Galois ring. We determine the structures of the extension ring and its unit group.
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Ring extensions are a well-studied topic in ring theory. In this paper, we study the structure of the Gauss extension of a Galois ring. We determine the structures of the extension ring and its unit group.
Key concepts: Mathematics, Extension (predicate logic), Ring (chemistry), Gauss, Galois extension, Unit (ring theory), Galois group, Primitive ring