path: root/notes-accq205.tex
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* Move and expand comment on the geometric meaning of separating trasncendence ...upload-20160318David A. Madore2016-03-181-10/+46
* More examples of coverings of curves (without saying the word yet).David A. Madore2016-03-181-9/+41
* Another example: the parabola.David A. Madore2016-03-181-8/+12
* Reinterpretation of linear disjointness from extension of scalars.David A. Madore2016-03-181-1/+39
* Extension of scalars (of vector spaces and algebras) from a field to an exten...David A. Madore2016-03-181-0/+192
* Irreducibility versus geometric irreducibility.David A. Madore2016-03-181-50/+116
* Drawing of the three standard rational curves.David A. Madore2016-03-181-7/+53
* Examples of singular curves.upload-20160317David A. Madore2016-03-171-0/+56
* Reducibility and irreducibility.David A. Madore2016-03-171-0/+53
* Note reducible curves.David A. Madore2016-03-171-1/+38
* Merge branch 'master' of A. Madore2016-03-171-8/+115
| * Rational points, rational parametrization of the circle.David A. Madore2016-03-171-8/+115
* | Two small additions/clarifications.David A. Madore2016-03-161-3/+9
* Definition of functions fields of curves.David A. Madore2016-03-161-4/+137
* Gauß lemma on irreducible polynomials.David A. Madore2016-03-161-1/+26
* Fix lots of typos (thanks, "Pjetri").David A. Madore2016-03-161-14/+14
* Some typos and other minor errors.upload-20160307David A. Madore2016-03-071-7/+8
* Add disclaimer about provisional status of these notes.upload-20160305David A. Madore2016-03-051-0/+7
* Add a few remarks.David A. Madore2016-03-051-3/+16
* Zariski-closed sets, radical ideals, and the bijection between them.David A. Madore2016-03-051-6/+212
* Note example of Artin's theorem on automorphisms.David A. Madore2016-03-051-1/+24
* Various hopefully intuitive explanations of Galois theory.David A. Madore2016-03-051-0/+78
* Two theorems by E. Artin.David A. Madore2016-03-051-8/+84
* State and prove the weak and strong Nullstellensätze.David A. Madore2016-03-031-2/+70
* Noetherian rings, maximal ideals of polynomial rings, and the Zariski lemma.David A. Madore2016-03-031-17/+191
* Typo.David A. Madore2016-03-031-2/+2
* Zeros-in-extension for algebraically closed fields.David A. Madore2016-03-021-6/+49
* Separating transcendence bases over a perfect field (not mentioning the term).David A. Madore2016-03-021-18/+65
* Typos.David A. Madore2016-03-021-2/+2
* Unfinished proof.David A. Madore2016-02-291-1/+24
* Statement of facts on Galois theory.David A. Madore2016-02-281-6/+165
* Mention purely inseparable extensions and the separable degree.David A. Madore2016-02-281-1/+30
* Split section on separable extensions.David A. Madore2016-02-281-2/+4
* A counterexample.David A. Madore2016-02-281-0/+16
* Separable algebraic extensions: compositum, etc.David A. Madore2016-02-281-113/+194
* Separable algebraic extensions.David A. Madore2016-02-271-9/+53
* Elements in a separably generated algebraic extension are separable.David A. Madore2016-02-271-14/+53
* More on linear disjointness.David A. Madore2016-02-271-8/+50
* More about separable algebraic elements.David A. Madore2016-02-271-22/+127
* Add trivial remark.David A. Madore2016-02-151-0/+3
* Nilradical of a ring.David A. Madore2016-02-151-0/+39
* An algebraic extension of a perfect field is perfect.David A. Madore2016-02-151-2/+28
* Minor updates.David A. Madore2016-02-151-2/+10
* TODO.David A. Madore2016-02-131-0/+6
* Separable element, perfect fields, primitive element theoremDavid A. Madore2016-02-131-11/+116
* Linear disjointness, subextensions of finite type.David A. Madore2016-02-121-33/+266
* Decomposition field for infinite families of polynomials.David A. Madore2016-02-121-18/+60
* Algebraic closure, Steinitz's theorem.David A. Madore2016-02-121-1/+43
* Rupture field, decomposition field, algebraic closure.David A. Madore2016-02-121-7/+109
* Additivity of transcendence degrees.David A. Madore2016-02-111-6/+44