Results 21 to 30 of about 6,505,496 (165)
On semigroups generated by subelliptic operators on homogeneous groups [PDF]
Colloquium Mathematicum, 1993 Let \(L\) be a positive Rockland operator on a homogeneous Lie group \(G\), i.e., a positive symmetric left-invariant hypoelliptic homogeneous differential operator. Let \(p_z\), \(\text{Re } z> 0\), be the kernel of the holomorphic semigroup \(T_z\), \(\text{Re }z> 0\), generated by \(\overline L\). Then \(p_z\) belongs to the Schwartz space according
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Green index in semigroups : generators, presentations and automatic structures [PDF]
, 2012 The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +5 more
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Generalized $F$-semigroups [PDF]
, 2005 summary:A semigroup $S$ is called a generalized $F$-semigroup if there exists a group congruence on $S$ such that the identity class contains a greatest element with respect to the natural partial order $\le _{S}$ of $S$. Using the concept of an anticone,
Giraldes, E. +2 more
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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
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
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
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Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
Finitely-generated left ideals in Banach algebras on groups and semigroups [PDF]
Studia Mathematica, 2017 Let $G$ be a locally compact group. We prove that the augmentation ideal in $L^1(G)$ is (algebraically) finitely-generated as a left ideal if and only if $G$ is finite. We then investigate weighted versions of this result, as well as a version for semigroup algebras. Weighted measure algebras are also considered. We are motivated by a recent conjecture
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EVERY GROUP IS A MAXIMAL SUBGROUP OF THE FREE IDEMPOTENT GENERATED SEMIGROUP OVER A BAND [PDF]
International Journal of Algebra and Computation, 2013 Given an arbitrary group G we construct a semigroup of idempotents (band) B G with the property that the free idempotent generated semigroup over B G has a maximal subgroup isomorphic to G. If G is finitely presented then B G
Igor Dolinka, Nik Ruskuc
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On diagram groups over Fibonacci-like semigroup presentations and their generalizations [PDF]
Semigroup Forum, 2021 We answer the question by Matt Brin on the structure of diagram groups over semigroup presentation ${\mathcal P}=\langle a,b,c\mid a=bc,b=ca,c=ab\rangle$. In the talk on Oberwolfach workshop, Brin conjectured that the diagram group over $\mathcal P$ with base $a$ is isomorphic to the generalized Thompson's group $F_9$.
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