Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations by Elham Mohammadi, Abbas Najati, Iz-iddine EL-Fassi

“…Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a  Abelian group  uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*}    f(x+y)+f(x-y)+g(x+y)&=2f(x)+f(y)+f(-y)+g(x)\\    & \quad +g(y), \\    f(x+y)+f(x-y)+g(x+y)&=2f(x)+2f(y)+g(x)+g(y),\end{align*}are investigated, where $f$ and $g$ are unknown functions  from $G$ to $cc(Y)$.…”
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Loop-induced masses for the first two generations with optimum flavour violation by Gurucharan Mohanta, Ketan M. Patel

“…It is shown that a single Abelian group suffices as G F . Moreover, the gauge charges are optimized to result in relatively smaller flavour violations in processes involving the first and second generation fermions. …”
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Tag-modules with complement submodules H-pure by Surjeet Singh, Mohd Z. Khan

“…The structure theory of such modules has been developed on similar lines as that of torsion abelian groups. If a module MR is such that M⊕M is a QTAG-module, it is called a strongly TAG-module. …”
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Generation of proper classes of short exact sequences by Ali Pancar

“…These operations are investigated in details for classes of short quasi-splitting, torsion-splitting and pure exact sequences of abelian groups.…”
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On minimal artinian modules and minimal artinian linear groups by Leonid A. Kurdachenko, Igor Ya. Subbotin

“…The authors prove that in such classes of groups as hypercentral groups (so also, nilpotent and abelian groups) and FC-groups, minimal artinian linear groups have precisely the same structure as the corresponding irreducible linear groups.…”
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Pinned-flags of some operations on fuzzy subgroups by B. B. Makamba, V. Murali

“…In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of pinned-flags. We develop algorithms to construct pinned-flags of fuzzy subgroups corresponding to these operations and prove their validity. …”
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Multipliers on weighted Hardy spaces over certain totally disconnected groups by Toshiyuki Kitada

“…In this note, we consider the multipliers on weighted H1 spaces over totally disconnected locally compact abelian groups with a suitable sequence of open compact subgroups (Vilenkin groups). …”
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The Near-Ring of Lipschitz Functions on a Metric Space by Mark Farag, Brink van der Merwe

“…This paper treats near-rings of zero-preserving Lipschitz functions on metric spaces that are also abelian groups, using pointwise addition of functions as addition and composition of functions as multiplication. …”
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Finding product sets in some classes of amenable groups by Dimitrios Charamaras, Andreas Mountakis

“…In this paper, we extend this result to several important classes of amenable groups, including all finitely generated virtually nilpotent groups and all abelian groups $(G,+)$ with the property that the subgroup $2G := \{g+g : g\in G\}$ has finite index. …”
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Topology of 3-dimensional manifolds by Eaman Eftekhary

“…Alternative approaches to the study of 3-manifolds and 4-dimensional cobordisms between them using abelian groups include, in particular, the theories which are formulated as topological quantum field theories (TQFTs). …”
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