Results 71 to 80 of about 1,450,468 (275)
Lattice decomposition of modules over commutative rings
, 2023 The direct sum decomposition of a module M in a direct sum $M=M_1\oplus{M_2}$ does not produce, in general, a decomposition of the lattice $L(M)$ of all submodules of $M$ in a direct product of lattices $L(M)=L(M_1)\times{L(M_2)}$.
Santos, Evangellina +2 more
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Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$
Mathematische Nachrichten, EarlyView.ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
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The commutative property of multiplication
, 2016 The commutative property of multiplication states that two numbers can be multiplied in either orderComponente Curricular::Ensino Fundamental::Séries Iniciais ...
Lichtblau, Sarah
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Algebra of operators for Q-Schur polynomials
Physics Letters BWe consider algebras acting on Schur and Q-Schur polynomials, corresponding to Kadomtsev-Petviashvili (KP) and BKP hierarchies. We present them in the spirit of affine Yangians, paying special attention to commutative subalgebras, box additivity property
Nikita Tselousov
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Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
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Parastrophe of Some Inverse Properties in Quasigroups
MathematicsThis work investigates the relationship between the parastrophes of some notion of inverses in quasigroups. Our findings reveal that, of the 5 parastrophes of LIP quasigroup, (23) parastrophe is a LIP quasigroup, (12) and (132) parastrophes are RIP ...
Yakub T. Oyebo +3 more
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Study of Jordan quasigroups and their construction
Journal of Taibah University for Science, 2018 Jordan quasigroups are commutative quasigroups satisfying the identity $x^{2}(yx)=(x^{2}y)x$. In this paper we discuss the basic properties of Jordan quasigroups and prove that (i) every commutative idempotent quasigroup is Jordan quasigroup, (ii) if a ...
Amir Khan +3 more
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Generalized commuting properties of measure-preserving transfomations [PDF]
Transactions of the American Mathematical Society, 1965 Cn( T) -C Cn+1 (T), n = 0, 1, 29 If there exists an integer N such that CN(T) = CN+1(T) then Cn(T) = Cn+1(T) for all n ? N; and in this case we define N(T) = min{N: CN(T) = CN+1(T) }, otherwise we set N(T) = o. We call N(T) the generalized commuting order of T. If RT1R-1 = T2 a.e., where R, T1, T2 E G then it is clear that -N(T1) = N(T2), i.e., N(T) is
openaire +1 more source
Intellectual Property Ordering beyond Borders
, 2022 This volume offers a broad range of perspectives on how intellectual property rights are protected beyond borders and highlights how public international law is an under-researched common denominator in the global protection of IP rights.
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Hyperbolic Rotations With Hybrid Numbers
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper presents a geometric and algebraic analysis of hyperbolic hybrid numbers, which combine structural features of the complex, dual, and hyperbolic number systems. Based on the algebraic properties of the hybrid number set, hyperbolic rotations in both the plane and space are investigated.
İskender Öztürk +2 more
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