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The group of multiplications for an almost completely decomposable group
Научный вестник МГТУ ГА, 2016 The groups of multiplications and the absolute principal ideals are described in the present paper for the rigid almost completely decomposable groups of the ring type with the cyclic regulator factor.
E. I. Kompantseva, A. A. Fomin
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On Poisson (2-3)-algebras which are finite-dimensional over the center
Researches in MathematicsOne of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev +2 more
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A remark on the ideal extension property [PDF]
, 1996 As a sequel to [23] we investigate ideal properties focusing on subtractive varieties. After having listed a few basic results, we give several characterizations of the commutator of ideals and prove, for example, that it commutes with finite direct ...
Bělohlávek, R. +2 more
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The condition number associated with ideal lattices from odd prime degree cyclic number fields
Journal of Mathematical CryptologyThe condition number of a generator matrix of an ideal lattice derived from the ring of integers of an algebraic number field is an important quantity associated with the equivalence between two computational problems in lattice-based cryptography, the ...
de Araujo Robson Ricardo
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Essential cohomology for elementary abelian p-groups
, 2009 For an odd prime p the cohomology ring of an elementary abelian p-group is polynomial tensor exterior. We show that the ideal of essential classes is the Steenrod closure of the class generating the top exterior power.
Altunbulak Aksu, F., Green, D.J.
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On the ring of inertial endomorphisms of an abelian group
, 2014 An endomorphisms $\p$ of an abelian group $A$ is said inertial if each subgroup $H$ of $A$ has finite index in $H+\varphi (H)$. We study the ring of inertial endomorphisms of an abelian group.
RINAURO, Silvana +3 more
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Circular units of real abelian fields with four ramified primes [PDF]
, 2017 summary:In this paper we study the groups of circular numbers and circular units in Sinnott’s sense in real abelian fields with exactly four ramified primes under certain conditions.
Sedláček, Vladimír +2 more
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Regularity of Idempotent Reflexive GP-V’-Rings
MathematicsThis paper discusses the regularity of the GP-V’-rings in conjunction with idempotent reflexivity for the first time. We mainly discuss the weak and strong regularity of the GP-V’-rings using generalized weak ideals, weakly right ideals, and quasi-ideals.
Liuwen Li, Wenlin Zou, Ying Li
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Physical Review X, 2018 The Majorana fermion, which is its own antiparticle and obeys non-Abelian statistics, plays a critical role in topological quantum computing. It can be realized as a bound state at zero energy, called a Majorana zero mode (MZM), in the vortex core of a ...
Qin Liu +15 more
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On Almost Everywhere K-Additive Set-Valued Maps
Annales Mathematicae SilesianaeLet X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there ...
Jabłońska Eliza
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