Results 231 to 240 of about 325,531 (269)

Representation of Relations by Partial Maps

Applied Categorical Structures, 2000
Let \({\mathcal C}\) be a finitely complete category in which the notions of subobjects, relations and partial morphisms are defined with respect to a class \({\mathcal M}\) of monomorphisms. This paper is concerned with the following representation (resp. nontrivial representation) of relations by morphisms (resp.
Xiaomin Dong, Walter Tholen
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A Representation of Partial Boolean Algebras

Fundamenta Informaticae, 1992
We prove that every partial boolean algebra is isomorphic to a partial boolean algebra of sets. As a consequence we obtain finite axiomatization of the theory of partial boolean algebras.
Andrzej Ehrenfeucht, Marek W. Zawadowski
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*-Representations of Partial *-Algebras

2002
This chapter is devoted to *-representations of partial *-algebras. We introduce in Section 7.1 the notions of closed, fully closed, self-adjoint and integrable *-representations. In Section 7.2, the intertwining spaces of two *-representations of a partial *-algebra are defined and investigated, and using them we define the induced extensions of a ...
Jean-Pierre Antoine, Atsushi Inoue, Camillo Trapani   +2 more
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Recurrent Partial Words and Representable Sets

J. Autom. Lang. Comb., 2016
Journal of Automata, Languages and Combinatorics, Volume 21, Number 3, 2016, 149 ...
Francine Blanchet-Sadri, Aleksandar Chakarov, Bob Chen, Lucas Manuelli, Sinziana Munteanu, Jarett Schwartz, Slater Stich   +6 more
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REPRESENTATIONS: RICH OR PARTIAL?

2020
This article focuses on how the idea of mental representations is understood in an influential modern research program in cognitive science - the program of predictive processing or predictive coding. It is pointed out that, as with earlier programs of classical cognitivism and connectionism, the idea of mental representations is also a crucial element
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Representation of the Partial Measures

2017
This chapter extends the measures introduced in the previous chapter to partial measures in the presence of third-series involvement. Third-series intervention is known to sometimes incur phenomena such as spurious or indirect causality attributable to possible feedback from the series. To address the problem, this chapter introduces an operational way
Yuzo Hosoya, Kosuke Oya, Taro Takimoto, Ryo Kinoshita   +3 more
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Algebraic Representation Theory of Partial Algebras

Annales Henri Poincaré, 2001
The notions of irreducibility and complete reducibility of representations of a partial algebra are defined and characterized. Furthermore, the decomposition theory of completely reducible representations is discussed.
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Representations of Inverse Monoids by Partial Automorphisms

SemiGroup Forum, 2000
A category \(\mathbf C\) is \((E,M)\)-structured if it has subcategories \(E\) and \(M\) such that (1) \(\text{Iso}({\mathbf C})\subseteq E\cap M\) and (2) each morphism \(f\) may be factored as \(f=em\) where \(e\in E\) and \(m\in M\) and if \(e_1m_1=f=e_2m_2\), then \(e_1=e_2u\) and \(um_1=m_2\) for a unique isomorphism \(u\). An \((E,M)\)-structured
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Stability of representations of effective partial algebras

Math. Log. Q., 2011
Summary: An algebra is effective if its operations are computable under some numbering. When are two numberings of an effective partial algebra equivalent? For example, the computable real numbers form an effective field and two effective numberings of the field of computable reals are equivalent if the limit operator is assumed to be computable in the
Jens Blanck, Viggo Stoltenberg-Hansen, John V. Tucker   +2 more
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