Deformation of Artinian algebras and Jordan type / edited by Anthony Iarrobino...[et. al.]

Includes bibliographical references and index.

This monograph presents a comprehensive study of Artinian algebras through the framework of deformation theory, with particular emphasis on Jordan type as a key invariant. It examines how algebraic structures evolve under small perturbations and how Hilbert functions, graded structures, and multiplication maps influence their classification. The work develops connections between commutative algebra, linear algebra, and algebraic geometry, highlighting concepts such as Lefschetz properties, inverse systems, and the role of Jordan canonical forms. By integrating theoretical analysis with illustrative examples, the book contributes to a deeper understanding of structural behavior, moduli problems, and classification of Artinian algebras, making it valuable for advanced study and research in modern algebra.