Ettaki Ayoub, Elomary Mohamed Abdou, Mamouni My Ismail
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Abstract
Operads were introduced to describe compositional structures arising in algebraic topology. Recently, some researches were interested in using operads in applied mathematics, to model composition of structures in logic, databases, and dynamical systems. In, we focus on finite presentation of an operad and its associated algebra. More precisely, we prove the general result stating that if an operad O has a finite presentation, then the associate O-algebra has also a corresponding one. Some application in physics, especially in wiring diagrams will be discussed.
期刊介绍：
WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.
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