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· Quaternion · Dihedral · Modular · Reversible rings · Symmetric rings · Reflexive rings · Semicomutative rings Mathematics Subject Classification 16S34 · 16W25 · 16P10 · 20C05 · 16S34 · 16W25 1 Introduction ...
in the literature. We establish the valid implications between the ring -theoretic conditions duo, reversible , SI property and symmetric in the setting of group rings . We further show that if the group ring $RG ...
Let G be an arbitrary finite group, R be a finite associative ring with identity and RG be the group ring . We show that ℤ2Q8 is the minimal reversible group ring which is not symmetric , and we also ...
Let f: A → B and g: A → C be two ring homomorphisms and let K and K′ be two ideals of B and C, respectively, such that f−1(K) = g−1(K′). We investigate unipotent, symmetric and reversible properties ...
Let G be an arbitrary finite group, R be a finite associative ring with identity and RG be the group ring . We show that ℤ2Q8 is the minimal reversible group ring which is not symmetric , and we also ...
Scholar, V.I.T, Vellore ABSTRACT Suppose 𝜶 be an anti automorphism in 𝑹 , 𝑫 : 𝑹 × 𝑹 × 𝑹 ×→ 𝑹 is a symmetric skew 3- reverse derivation ( ( ) ) with anti automorphism 𝜶 . 𝒇 trace in 𝑫 then 𝑫 𝒇 ...
Scholar, V.I.T, Vellore ABSTRACT Suppose 𝜶 be an anti automorphism in 𝑹 , 𝑫 : 𝑹 × 𝑹 × 𝑹 ×→ 𝑹 is a symmetric skew 3- reverse derivation ( ( ) ) with anti automorphism 𝜶 . 𝒇 trace in 𝑫 then 𝑫 𝒇 ...
Scholar, V.I.T, Vellore ABSTRACT Suppose 𝜶 be an anti automorphism in 𝑹 , 𝑫 : 𝑹 × 𝑹 × 𝑹 ×→ 𝑹 is a symmetric skew 3- reverse derivation ( ( ) ) with anti automorphism 𝜶 . 𝒇 trace in 𝑫 then 𝑫 𝒇 ...
∗- ring with the concept of symmetric Received: 01 /04/2019 reverse ∗- -derivations are proved under certain conditions. Rrevised form: 18 /04/2019 Accepted : 23 /04/2019 Available online: 30 /05/2019 MSC ...
Abstract: The ring of symmetric functions carries the structure of a Hopf algebra. When computing the coproduct of complete symmetric functions $h_\lambda$ one arrives at weighted sums over reverse ...
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