Transactions of the American Mathematical Society, Vol. 359, No. 2 (Feb., 2007), pp. 827-857 (31 pages) We discuss some of the basic ideas of Galois theory for commutative S-algebras originally ...
Transactions of the American Mathematical Society, Vol. 203 (Mar., 1975), pp. 77-85 (9 pages) Let B be a commutative ring with 1, let G be a finite group of automorphisms of B, and let A be the ...
Algebraic structures provide a comprehensive framework for understanding systems governed by operations such as addition and multiplication. In this context, noncommutative rings—where the order of ...
Automorphism-invariant modules have emerged as a linchpin in the study of modern algebra, especially in the context of module theory over noncommutative rings. These modules are defined by the ...
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