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Commutative Algebra - Primary Decomposition

Explore primary decomposition in commutative algebra, generalizing prime factorization from integers and polynomials to arbitrary commutative rings.
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Commutative Algebra - Primary Decomposition 2

Delve into advanced primary decomposition theory and explore noetherianity concepts in this Oxford 3rd year mathematics lecture on commutative algebra fundamentals.
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Abstract Algebra - Properties and Examples of Ring Homomorphisms

Explore ring homomorphisms' properties and examples, including proofs and comparisons of isomorphic groups versus rings in abstract algebra.
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Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
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ICTP Mathematics
Frobenius Maps on the Rings of Invariants

Explore Frobenius maps and their applications to invariant theory, focusing on algebraic structures and group actions in characteristic p.
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ICTP Mathematics
50 Years of Mathematics - The Work of Melvin Hochster

Explore the profound impact of Melvin Hochster's contributions to mathematics over five decades, highlighting key breakthroughs and their significance in the field.
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Uniform Artin-Rees Results - Part 2

Explore advanced concepts in tight closure theory, focusing on uniform Artin-Rees results and their applications in algebraic geometry and commutative algebra.
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An Overview of Tight Closure of Ideals - Part 1

Explore the fundamental concepts and applications of tight closure theory in commutative algebra, focusing on ideals and their properties in ring theory.
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Direct Summands of Regular Rings - Part 2

Explore advanced concepts in tight closure theory, focusing on direct summands of regular rings and their applications in algebraic geometry and commutative algebra.
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Hausdorff Center for Mathematics
The Module Structure of a Group Action on a Ring

Explore finite group actions on graded algebras, examining module multiplicities and their connections to homological algebra and geometric group actions.
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IMSA
Computation in Unitary Equivariant Bordism

Explore explicit computations of the unitary equivariant bordism ring, presented by Bernardo Uribe on behalf of Dev Sinha. Gain insights into advanced mathematical concepts and recent research findings.
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International Centre for Theoretical Sciences
Structure of Group Rings and the Group of Units of Integral Group Rings - Lecture 1

Explores group rings, their structure, and units of integral group rings. Covers idempotents, invertible elements, augmentation mapping, and constructions of units including Bass and cyclotomic units.
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Banach Center
Sums of Squares in Leavitt Path *-Algebras and Beyond

Explore sums of squares in Leavitt path *-algebras and their extensions, delving into advanced mathematical concepts and applications.
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Formalizing Giles Gardam's Disproof of Kaplansky's Unit Conjecture

Explore the formalization of Giles Gardam's disproof of Kaplansky's Unit Conjecture using Lean 4, combining deductive proving and verified computation.
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