Many approaches to natural language semantics are essentially model–theoretic, typically cast in type theoretic terms. Many linguists have adopted type theory or many–sorted algebras (see Hendriks (2001) and references therein). However, recently Hodges (2001) has offered an approach to compositionality using just partial algebras. An approach in terms of partial algebras seems at the outset mo...

In the study of pre-Lie algebras, concept pre-morphism arises naturally as a generalization standard notion morphism. Pre-morphisms can be defined for arbitrary (not-necessarily associative) algebras over any commutative ring k with identity, and dualized in various ways to generalized morphisms (related pre-Jordan algebras) anti-pre-morphisms anti-pre-Lie algebras). We consider idempotent pre-...

The notion of pre-Lie algebra can be seen as a weakened form of associative algebra, still giving a Lie algebra by anti-symmetrization. It has been introduced by Gerstenhaber in his work on deformations of algebras [Ger64]. More recently, it has been studied from the point of view of operad theory and seen to be related to rooted trees [CL01]. The motivating problem for this paper is the classi...

Developing human-centered agent architectures requires the integral consideration of architectural flexibility, teamwork adaptability, and context reasoning capability. With the integration of various forms of team intelligence including shared teamwork process and progress, dynamic context management and information dependency reasoning, and recognition-primed collaborative decision mechanism,...

The Connes-Kreimer renormalization Hopf algebras are examples of a canonical quantization procedure for pre-Lie algebras. We give a simple construction and explanation of this quantization using the universal enveloping algebra for so-called twisted Lie algebras (Lie algebras in the category of symmetric sequences of k-modules). As an application, we obtain a simple proof of the (strengthened) ...

The main feature of Hom-algebras is that the identities defining structures are twisted by linear maps. purpose this paper to introduce and study a Hom-type generalization pre-Malcev algebras, called Hom-pre-Malcev algebras. We also notion Kupershmidt operators Hom-Malcev algebras show connections between using operators. generalize Hom-pre-Lie Hom-alternative setting fit into bigger framework ...

We find a natural compatible condition between the Rota-Baxter operator and Turaev's (Hopf) group-(co)algebras, which leads to concept of group-(co)algebra. Two characterizations group-algebras (abbr. T-algebras) are obtained: one by Atkinson factorization other T-quasi-idempotent elements. The relations among some related group algebraic structures (such as (tri)dendriform T-algebras, Zinbiel ...

The production process of pre-cast concrete installation is analyzed to investigate possible ways for onsite productivity improvement. Although manufactured construction enjoys higher quality and productivity, it is observed that it suffers delays compared to site built construction. Delay causes and respective severity are analyzed for improvement. Firstly, the production process is investigat...