In this paper we provide various properties of Rad-⊕-supplemented modules. In particular, we prove that a projective module M is Rad- ⊕-supplemented if and only if M is ⊕-supplemented, and then we show that a commutative ring R is an artinian serial ring
Türkmen Ergül
doaj +1 more source
Critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions [PDF]
L. A. Fernández+7 more
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Commutative Properties of Head Direction Cells during Locomotion in 3D: Are All Routes Equal? [PDF]
Patrick A. LaChance+4 more
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On the isomorphism problem for monoids of product‐one sequences
Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source
Universal lifts of chain complexes over non-commutative parameter algebras [PDF]
We define the notion of universal lift of a projective complex based on non-commutative parameter algebras, and prove its existence and uniqueness. We investigate the properties of parameter algebras for universal lifts.
arxiv
Kazhdan’s property $(T)$ with respect to non-commutative $L_{p}$-spaces [PDF]
Baptiste Olivier
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Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture
Abstract In this short note, we state a stable and a τ$\tau$‐reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso.
Calvin Pfeifer
wiley +1 more source
Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification [PDF]
Margareta Heilmann
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Discrete subgroups of normed spaces are free
Abstract Ancel, Dobrowolski and Grabowski (Studia Math. 109 (1994): 277–290) proved that every countable discrete subgroup of the additive group of a normed space is free Abelian, hence isomorphic to the direct sum of a certain number of copies of the additive group of the integers.
Tomasz Kania, Ziemowit Kostana
wiley +1 more source
Geometric properties of commutative subalgebras of partial differential operators [PDF]
Alexander Zheglov, Herbert Kurke
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