Lectures related to Extension of Domains

Dimension Theory of Rings

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Rings and Modules

Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.

Magnetostatics: Magnetic Field and Force

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Dedekind Rings: Factorisation and Ideal Class Group

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Assessment of Learning: Validity and Reliability

Explores the concepts of validity and reliability in assessment in higher education.

Ramification Theory: Residual Fields and Discriminant Ideal

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Register Swapping Techniques

Covers register swapping techniques, consensus algorithms, and winner determination.

Ramification and Structure of Finite Extensions

Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.

Dedekind Rings: Integral Extensions and Noetherian Rings

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Galois Theory: Recap and Transitivity

Covers the recap of Galois theory and emphasizes the transitivity of Galois groups.

Effective Teaching Evaluations: Dimensions and Formulation Tips

Discusses the multidimensional nature of teaching evaluations and offers tips for formulating effective questions.

Reliable Broadcast: Causal Order

Explores reliable broadcast algorithms, focusing on causal order and uniform reliability, with exercises on failure detector properties and memory optimization.

Assessment Process Design

Focuses on designing an assessment process for effective measurement in various settings.

Taylor Polynomial: Order, Development, and Limits

Explores Taylor polynomials, including order, development, limits, and algebraic operations.

Multiple Integrals: Extension and Properties

Explores the extension and properties of multiple integrals for continuous functions on rectangles.

Reliable Broadcast: Overview and Algorithms

Explores reliable broadcast in distributed systems, presenting specifications, algorithms, and properties for different types of broadcast.

Properties of Euclidean Domains

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Total Order Broadcast: Basics and Consensus Equivalences

Explores total order broadcast and its equivalence to consensus in reliable systems.

Student Evaluation of Teaching: Effective Strategies

Discusses the importance of student evaluations in improving teaching effectiveness and understanding student perspectives.

Algebraic Geometry: Forms and Maps

Covers the concept of forms in algebraic geometry and the implications of constructing Bloch(A) from glued copies of A.