Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series by Chinnaraji Annamalai, Antonio Marcos de Oliveira Siqueira

Subjects: “…computation, combinatorics, binomial coefficient, abelian group…”
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Abelian group in a topos of sheaves: torsion and essential extensions by Kiran R. Bhutani

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Green’s relations for 2 × 2 matrices over linearly ordered abelian groups by Marilyn Kutti, Valdis Laan

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Representation theory of finite abelian groups applied to a linear diatomic crystal by J. N. Boyd, P. N. Raychowdhury

Subjects: “…abelian groups…”
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On a General Conditional Cauchy Functional Equation by Elham Mohammadi, Abbas Najati, Yavar Khedmati Yengejeh

Subjects: “…abelian group…”
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An extension of Helson-Edwards theorem to Banach Modules by Sin-Ei Takahasi

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Tensor products of commutative Banach algebras by U. B. Tewari, M. Dutta, Shobha Madan

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On decomposable pseudofree groups by Dirk Scevenels

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The conjugation operator on Aq(G) by Sanjiv Kumar Gupta

“…We prove that the conjugation operator H does not extend to a bounded operator on the space of integrable functions defined on any compact abelian group with the Fourier transform in lq.…”
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Orbifolds and finite group representations by Li Chiang, Shi-Shyr Roan

“…We concern only the quotient singularity of hypersurface type. The abelian group Ar(n) for A-type hypersurface quotient singularity of dimension n is introduced. …”
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Convergent nets in abelian topological groups by Robert Ledet

“…A net in an abelian group is called a T-net if there exists a Hausdorff group topology in which the net converges to 0. …”
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A Generalization of Arrow’s Lemma on Extending a Binary Relation by Athanasios Andrikopoulos

“…In this paper, I provide a characterization of Arrow’s result for the case in which the binary relations I extend are not necessarily transitive and are defined on abelian groups. I also give a characterization of the existence of a realizer of a binary relation defined on an abelian group. …”
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On functions with the Cauchy difference bounded by a functional. Part II by Włodzimierz Fechner

“…We are going to consider the functional inequality f(x+y)−f(x)−f(y)≥ϕ(x,y), x,y∈X, where (X,+) is an abelian group, and ϕ:X×X→ℝ and f:X→ℝ are unknown mappings. …”
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On hypersurface quotient singularities of dimension 4 by Li Chiang, Shi-Shyr Roan

“…For a linear special group G acting on ℂn, we study the G-Hilbert scheme HilbG(ℂn) and crepant resolutions of ℂn/G for G the A-type abelian group Ar(n). For n=4, we obtain the explicit structure of HilbAr(4)(ℂ4). …”
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On a family of weighted convolution algebras by Hans G. Feichtinger, A. Turan Gürkanli

“…Continuing a line of research initiated by Larsen, Liu and Wang [12], Martin and Yap [13], Gürkanli [15], and influenced by Reiter's presentation of Beurling and Segal algebras in Reiter [2,10] this paper presents the study of a family of Banach ideals of Beurling algebras Lw1(G), G a locally compact Abelian group. These spaces are defined by weighted Lp-conditions of their Fourier transforms. …”
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Unit group of integral group ring <mml:math display="inline"><mml:mrow><mml:mi>ℤ</mml:mi><mml:mo class="MathClass-open">(</mml:mo><mml:mi>G</mml:mi> <mml:mo class="MathClass-bin">×... by Ömer Küsmüş

“…Presenting an explicit descryption of unit group in the integral group ring of a given non-abelian group is a classical and open problem. Let S3C3ℤ(S3×C3)(F55⋊F3)⋊(S3∗×C2)Fρρℤ(S3×C3)S3RS3R=ℤ[ω]ωℤ(G×C3)GV(G)GU(ℤ(G×C3))…”
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Abstract mechanical connection and abelian reconstruction for almost Kähler manifolds by Sergey Pekarsky, Jerrold E. Marsden

“…Blaom), thus significantly simplifying computations of the corresponding dynamic and geometric phases for an Abelian group G. These ideas are illustrated using the example of the resonant three-wave interaction. …”
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On a Matrix over NC and Multiset NC Semigroups by Mohammed A. Saleem, Mohamed Abdalla, A. Elrawy

“…Then, the study of the algebraic structure of matrices over NC under addition modulo 1, the usual product, and product by using addition modulo 1 was introduced, from which it was found that the matrix over NC built using interval 0,1 happens to be an abelian group under addition modulo 1. Furthermore, it is proved that the matrix over NC defined on the interval 0,1 is not a regular semiring. …”
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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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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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