Displaying similar documents to “Strongly prime radical of group algebras.”

Skew derivations and the nil and prime radicals

Jeffrey Bergen, Piotr Grzeszczuk (2012)

Colloquium Mathematicae

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We examine when the nil and prime radicals of an algebra are stable under q-skew σ-derivations. We provide an example which shows that even if q is not a root of 1 or if δ and σ commute in characteristic 0, then the nil and prime radicals need not be δ-stable. However, when certain finiteness conditions are placed on δ or σ, then the nil and prime radicals are δ-stable.

On uniformly strongly prime Γ-semirings (II)

Tapan Kumar Dutta, Suhrid Dhara (2006)

Discussiones Mathematicae - General Algebra and Applications

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The Uniformly strongly prime k-radical of a Γ-semiring is a special class which we study via its operator semiring.

On the Properties of the Möbius Function

Magdalena Jastrzebska, Adam Grabowski (2006)

Formalized Mathematics

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We formalized some basic properties of the Möbius function which is defined classically as [...] as e.g., its multiplicativity. To enable smooth reasoning about the sum of this number-theoretic function, we introduced an underlying many-sorted set indexed by the set of natural numbers. Its elements are just values of the Möbius function.The second part of the paper is devoted to the notion of the radical of number, i.e. the product of its all prime factors.The formalization (which is...

On prime submodules and primary decomposition

Yücel Tiraş, Harmanci, Abdullah (2000)

Czechoslovak Mathematical Journal

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We characterize prime submodules of R × R for a principal ideal domain R and investigate the primary decomposition of any submodule into primary submodules of R × R .