Abstract:

Abstract algebra is a fundamental area of mathematics that provides tools for understanding many mathematical structures used in modern science. Its concepts are widely applied in various fields such as genetics, physics, computer science, and data analysis. This paper aims to study the associativity property of evolutionary algebra and to examine the possibility of its existence in algebraic systems related to linear operators. By analysing this property, the research helps to clarify the internal structure of evolutionary algebra and improve our understanding of how such algebraic models can be applied in real-world problems. The results contribute to both theoretical studies and practical applications that rely on abstract algebraic methods.

Keywords: Evolutionary Algebra; Jordan algebra; Associativity.

Abstract:

This paper aims to explore the history and development of artificial intelligence (AI), from its beginnings in the mid-20th century to its current applications in science, industry, and everyday life. The study focuses on the main milestones and breakthroughs that have shaped AI over time. By looking at its past and present, the research provides a clear understanding of how AI has grown and how it may develop in the future. The goal is to give a simple but complete view of AI’s evolution and its potential impact on society and technology. It also opens new horizons for further research in the field of artificial intelligence, highlighting its potential impact on society, innovation, and interdisciplinary studies.

Keywords: Artificial Intelligence, History, Applications, Interdisciplinary Research.