Results 71 to 80 of about 17,375 (238)
On quasi-injective abelian groups [PDF]
, 1971 It is a well-known theorem that any abolian group G satisfying G = nG for every positive integer n is a direct summand of every abelian group H which contains G as a subgroup.
Sanderson, Rebecca Davis +1 more
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Sensitivity and Hamming Graphs
Journal of Graph Theory, Volume 112, Issue 3, Page 296-305, July 2026.ABSTRACT For any m ≥ 3 we show that the Hamming graph H ( n , m ) admits an imbalanced partition into m sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio +3 more
wiley +1 more source
On purity in abelian groups and in modules [PDF]
, 1973 The purpose of this thesis is to study the elementary properties of pure subgroups of an abelian group, to use these properties to prove the Fundamental Theorem of Finitely Generated Abelian Groups, and to generalize the abelian group concept of purity ...
Thacker, Barbara Lea +1 more
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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
Encryption system based on abelian groups and rings
, 2020 A simple encryption system is based on properties of abelian group an associative and commutative rings with unit is proposed. The algorithms with quadratic time complexity and memory complexity are proposed.
Kryvyi, S.L.
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On the Hodge conjecture for products of certain surfaces [PDF]
, 2003 In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José +1 more
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Basic subgroups in modular abelian group algebras [PDF]
, 2007 summary:Suppose ${F}$ is a perfect field of ${\mathop {\mathrm char}F=p\ne 0}$ and ${G}$ is an arbitrary abelian multiplicative group with a ${p}$-basic subgroup ${B}$ and ${p}$-component ${G_p}$.
Danchev, Peter
core +1 more source
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2019 Summary: A homomorphism \(\mu: G \otimes G \to G\) is called a multiplication on an abelian group \(G\). An abelian group \(G\) with a multiplication on it is called a ring on \(G\). The study of abelian groups supporting only a certain ring is one of the trends in the additive group theory.
openaire +2 more sources
On the Meaning of Localization in Non‐Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 6, June 2026.In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley +1 more source
Commutative group algebras of highly torsion-complete abelian $p$-groups [PDF]
, 2003 summary:A new class of abelian $p$-groups with all high subgroups isomorphic is defined. Commutative modular and semisimple group algebras over such groups are examined. The results obtained continue our recent statements published in Comment. Math. Univ.
Danchev, Peter
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