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"In Mathematical Language": On Mathematical Foundations of Quantum Foundations. [PDF]
Plotnitsky A.
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Structured Dynamics in the Algorithmic Agent. [PDF]
Ruffini G, Castaldo F, Vohryzek J.
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Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. [PDF]
Agresti A, Luongo E.
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Irregular abelian semigroups with weakly amenable semigroup algebra
Semigroup Forum, 2011The main result of this paper is the construction of a commutative semigroup \(S\) which is not the union of its subgroups and for which the semigroup algebra \(A = \ell^1(S)\) is weakly amenable. The latter concept means that every bounded derivation from \(A\) into its dual module is inner.
Hussein M. Ghlaio, C. Read
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Semigroup algebras of finite ample semigroups
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012An adequate semigroup S is called ample if ea = a(ea)* and ae = (ae)†a for all a ∈ S and e ∈ E(S). Inverse semigroups are exactly those ample semigroups that are regular. After obtaining some characterizations of finite ample semigroups, it is proved that semigroup algebras of finite ample semigroups have generalized triangular matrix representations ...
Guo, Xiaojiang, Chen, Lin
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Semigroup Varieties and Semigroup Algebras
Semigroup Forum, 1999The author proves several results of the following flavour: given an important ring-theoretical property \(\Theta\), he describes (both structurally and in the language of identities) all semigroup varieties \(V\) such that for each (or for each finite, or for each locally finite) semigroup \(S\in V\), the semigroup algebra \(FS\) over a field \(F ...
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Locally ample semigroup algebras
Asian-European Journal of Mathematics, 2014An idempotent-connected abundant semigroup S is a locally ample semigroup if for any idempotent e of S, the local submonoid eSe of S is an ample subsemigroup of S. Clearly, an ample semigroup is a locally ample semigroup. In this paper, it is proved that the semigroup algebra of a finite locally ample semigroup is isomorphic to the semigroup algebra of
Guo, Xiaojiang, Shum, K. P.
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C*-algebra generated by the paths semigroup
, 2016In this paper we study the structure of the C*-algebra, generated by the representation of the paths semigroup on a partially ordered set (poset) and get the net of isomorphic C*-algebras over this poset. We construct the extensions of this algebra, such
S. Grigoryan +3 more
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Bulletin of the Malaysian Mathematical Sciences Society, 2015
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