Results 41 to 50 of about 1,070,702 (215)
Graded Differential Polynomial Rings
Mathematische Nachrichten, EarlyView.ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley +1 more source
Cayley automaton semigroups [PDF]
, 2015 Let S be a semigroup, C(S) the automaton constructed from the right Cayley graph of S with respect to all of S as the generating set and ∑(C(S)) the automaton semigroup constructed from C(S). Such semigroups are termed Cayley automaton semigroups. For
McLeman, Alexander Lewis Andrew
core +2 more sources
Eventually Pointed Principally Ordered Regular Semigroups
Sultan Qaboos University Journal for ScienceAn ordered regular semigroup, , is said to be principally ordered if for every there exists . A principally ordered regular semigroup is pointed if for every element, we have .
G.A. Pinto
doaj +1 more source
Semigroup Forum, 1984 A poe-groupoid is a po-groupoid endowed with a greatest element e. The same for poe (le)-semigroups. In this short note, the author continues his study of regularity of poe-semigroups. The following result is proved: Theorem. Let S be a poe-semigroup.
openaire +4 more sources
The Reduction Theorem for Leavitt Path Algebras of Labeled Graphs and Its Applications
Mathematische Nachrichten, EarlyView.ABSTRACT We introduce a notion of labeled cycle for normal labeled spaces and prove a reduction theorem for Leavitt path algebras associated with labeled graphs. We show that every nonzero element can be reduced, by suitable left and right multiplication, either to a nonzero scalar multiple of a projection or to a polynomial supported on a labeled ...
Daniel Gonçalves +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos +3 more
wiley +1 more source
Markov‐Associated Quadratic Stochastic Families and the Susceptible‐Infected‐Recovered (SIR) Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We introduce a Markov‐associated construction for quadratic stochastic families generated by a symmetric cubic stochastic matrix and a finite‐state homogeneous Markov semigroup. The constructed family is not assumed to be a classical quadratic stochastic process of type (A)$$ (A) $$ or type (B)$$ (B) $$; rather, it is a Markov‐associated ...
Taimun Qaisar +3 more
wiley +1 more source
On the growth of generating sets for direct powers of semigroups [PDF]
, 2011 For a semigroup S its d-sequence is d(S) = (d1, d2, d3, . . .), where di is the smallest number of elements needed to generate the ith direct power of S.
J. T. Hyde +14 more
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N5 as a Subalgebra of a Principally Ordered Naturally Ordered Regular Semigroup with a Zero Element
Sultan Qaboos University Journal for ScienceWe start with a basic and technical result: If S is a principally ordered regular semigroup that has a zero element, 0, then 0* is the biggest element (in fact, idempotent) of S.
G.A. Pinto
doaj +1 more source