"Structural Theory of Degrees of Unsolvability: Advances and Open Problems" by M.M. Arslanov, published in Algebra and Logic in 2015, delves into the field of degrees of unsolvability. The paper explores the advancements made in the structural theory of degrees of unsolvability, a branch of mathematical logic concerned with measuring the relative complexity of problems and their solvability. The author discusses various developments and breakthroughs in this area, highlighting the progress made in understanding the underlying structure and hierarchy of unsolvability degrees. Additionally, the article addresses open problems that remain as challenges for future research in this field. Overall, it provides a concise overview of the advancements and lingering questions within the structural theory of degrees of unsolvability.

What is the structural theory of degrees of unsolvability?
The structural theory of degrees of unsolvability is a branch of mathematical logic that aims to measure and compare the complexity of unsolvable problems.

What are the recent advancements in the field?
M.M. Arslanov discusses the recent progress made in understanding the underlying structure and hierarchy of unsolvability degrees.

How do degrees of unsolvability relate to the complexity of problems?
The author explain how different degrees of unsolvability reflect the varying levels of computational complexity of unsolvable problems.

What are the main concepts and frameworks used in the structural theory of degrees of unsolvability?
The author discuss the foundational concepts, such as Turing degrees, and the frameworks used to analyze the structure of unsolvability degrees.

Are there any practical implications of the findings in this field?
The author explore potential practical implications or applications of the structural theory of degrees of unsolvability, such as in computer science or algorithmic analysis.

What are the open problems and challenges for future research in this area?
M.M. Arslanov highlight specific open problems that remain unsolved or areas that require further investigation within the field of structural theory of degrees of unsolvability.