Factorisation in Dedekind Ring

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Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

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Covers primary decomposition in commutative rings and its application in prime ideals.

Dedekind Rings: Theory and Applications

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

Primary Decomposition: Understanding Schemes

Explores primary decomposition and schemes in algebraic geometry, emphasizing the importance of working over non-algebraically closed fields and the concept of fibers of morphisms.

Factorisation in Principal Ideal Domains

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Prime ideals and local rings

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Dimension of Algebraic Variety

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Commutative Algebra: Recollections

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Cyclotomic Extensions: Norms, Ideals, and Primes

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