This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.

This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988. The conference was dedicated to the memory of Professor Antonio Almeida Costa, a Portuguese mathematician who greatly contributed to the development of th algebra in Portugal, on the 10 anniversary of his death. The themes of the conference reflect some of his research interests and those of his students. The purpose of the conference was to gather leading experts in Lattices, Semigroups, and Universal Algebra and to promote a discussion of recent developments and trends in these areas. All three fields have grown rapidly during the last few decades with varying degrees of interaction. Lattice theory and Universal Algebra have historically evolved alongside with a large overlap between the groups of researchers in the two fields. More recently, techniques and ideas of these theories have been used extensively in the theory of semigroups. Conversely, some developments in that area may inspire further developments in Universal Algebra. On the other hand, techniques of semi group theory have naturally been employed in the study of semilattices. Several papers in this volume elaborate on these interactions.

This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988. The conference was dedicated to the memory of Professor Antonio Almeida Costa, a Portuguese mathematician who greatly contributed to the development of th algebra in Portugal, on the 10 anniversary of his death. The themes of the conference reflect some of his research interests and those of his students. The purpose of the conference was to gather leading experts in Lattices, Semigroups, and Universal Algebra and to promote a discussion of recent developments and trends in these areas. All three fields have grown rapidly during the last few decades with varying degrees of interaction. Lattice theory and Universal Algebra have historically evolved alongside with a large overlap between the groups of researchers in the two fields. More recently, techniques and ideas of these theories have been used extensively in the theory of semigroups. Conversely, some developments in that area may inspire further developments in Universal Algebra. On the other hand, techniques of semi group theory have naturally been employed in the study of semilattices. Several papers in this volume elaborate on these interactions.

As the planet's natural resources continue to be depleted, society's environmental awareness has grown. Businesses especially are being coerced into incorporating more sustainable approaches to carrying out their activities. Organizations that develop sustainable business strategies that deliver enhanced value by radically reducing material inputs and engaging consumers on circular economy will be well-positioned for success. Mapping, Managing, and Crafting Sustainable Business Strategies for the Circular Economy is an essential reference source that discusses implementing sustainable business strategies as well as economic policies for the modern business era. Featuring research on topics such as global business, urban innovation, and cost management, this book is ideally designed for managers, operators, manufacturers, academics, practitioners, policymakers, researchers, business professionals, and students seeking coverage on utilizing natural resources in the most sustainable way.

As the planet's natural resources continue to be depleted, society's environmental awareness has grown. Businesses especially are being coerced into incorporating more sustainable approaches to carrying out their activities. Organizations that develop sustainable business strategies that deliver enhanced value by radically reducing material inputs and engaging consumers on circular economy will be well-positioned for success. Mapping, Managing, and Crafting Sustainable Business Strategies for the Circular Economy is an essential reference source that discusses implementing sustainable business strategies as well as economic policies for the modern business era. Featuring research on topics such as global business, urban innovation, and cost management, this book is ideally designed for managers, operators, manufacturers, academics, practitioners, policymakers, researchers, business professionals, and students seeking coverage on utilizing natural resources in the most sustainable way.