COMMUTATIVE ALGEBRA
cod. 1000143

Academic year 2007/08
2° year of course - First semester
Professor
Celestina COTTI
Academic discipline
Algebra (MAT/02)
Field
Formazione algebrico-geometrica
Type of training activity
Characterising
60 hours
of face-to-face activities
6 credits
hub:
course unit
in - - -

Learning objectives

A first introduction to algebraic theory of lines and surfaces.

Prerequisites

Algebra 1.

Course unit content

<p>Commutative rings with identity: ideals and radicals.</p>
<p>Modules over commutative rings with identity: Nakayama's lemma.</p>
<p>Local and semilocal rings:  localizing.</p>
<p>Noetherian and artinian rings and modules.</p>
<p>Ideals of artinian rings: primary decomposition.</p>
<p>Krull's dimension.</p>
<p>From commuttive algebra to algebraic geometry.</p>
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Full programme

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Bibliography

Atiya-MacDonald, Algebra commutativa, Feltrinelli

Teaching methods

Seminars.

Assessment methods and criteria

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Other information

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2030 agenda goals for sustainable development

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