Marco D'Anna

Scott Chapman

Valentina Barucci

Ralf Fröberg

This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere. The contents comprise the proceedings of the 2018 INdAM “International Meeting on Numerical Semigroups”, held in Cortona, Italy. Talks at the meeting centered not only on traditional types of numerical semigroups, such as Arf or symmetric, and their usual properties, but also on related types of semigroups, such as affine, Puiseux, Weierstrass, and primary, and their applications in other branches of algebra, including semigroup rings, coding theory, star operations, and Hilbert functions. The papers in the book reflect the variety of the talks and derive from research areas including Semigroup Theory, Factorization Theory, Algebraic Geometry, Combinatorics, Commutative Algebra, Coding Theory, and Number Theory. The book is intended for researchers and students who want to learn about recent developments in the theory of numerical semigroups and its connections with other research fields.

IMNS 2018

Numerical Semigroups

This book offers for consideration an integrated social economic structure and technical solution capable of ending the predatory evolution of our species. This book also explains the primary factor responsible for the most preventable suffering and death throughout the evolutionary development of our species and how to correct this dysfunction at its source. It also describes how our species is undergoing a natural evolutionary transition from creatures still under the control of our predatory instincts into enlightened beings capable of creating technically advanced societies free of social economic competition for survival. This book explains how subjective realities are induced as a powerful form of psychological manipulation and used to control the working class populations for thousands of years. It also describes how the effects of artificial selection have altered the intellectual evolutionary development of our species to make our systematic exploitation under capitalism seem like an acceptable social economic system. The integrated solution in this book describes the creation of an automated community infrastructure capable of supporting a self-replicating technically advanced predator free society. The solution also offers exponential growth of a global network allowing more families to end their predatory competition for survival and start helping others wanting to make the transition.

Marco D'Anna

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