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Results tagged with reference-request
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user 5495
This tag is used if a reference is needed in a paper or textbook on a specific result.
0
votes
Accepted
Where did the multigraded Segre product appear in the literature?
I found a precursor of the notion in the paper "On unmixedness theorem" by Chow (American Journal of Mathematics, Vol. 86, No. 4, Oct., 1964). He considers a Segre-type product of the form $\bigoplus_ …
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0
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Reference Request: Smith Normal Form for maps between free _graded_ modules
$k[t]$ is a PID when $k$ is a field.
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2
votes
2
answers
320
views
Where did the multigraded Segre product appear in the literature?
Let $k$ be a field and $A\subset \mathbb{N}^d$ a vector configuration. Let $R,S$ be commutative $k$-algebras, both graded by the affine semigroup $\mathbb{N}A$. Is the 'multidgraded Segre product' $R …
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3
votes
0
answers
144
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The spring Markov chain on $\mathbb{N}$
I'm trying to understand and learn more about "almost surely bounded" Markov chains on countable state spaces. I'm looking for references where I can learn how to work with more complicated examples …
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9
votes
1
answer
687
views
When and where did the term "module" enter commutative algebra?
Bruns/Herzog "Cohen-Macaulay-Rings" has a note in the notes for Chapter 1, saying roughly that after the influx of homological algebra into commutative ring theory, modules became popular objects (ins …
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4
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0
answers
187
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A non-matroidal notion of dependence on a set of ideals
Assume we are given a set of ideals $I_1, \dots, I_s$ in a commutative polynomial ring. Let's define a subset indexed by $A\subseteq [s] = \{ 1,2,\dots, s\}$ as dependent if there exists an $a\in A$ s …
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2
votes
Accepted
Groebner bases for power series rings (reference request)
To expand on Michael's comment, the Greuel, Pfister book Section 6.4 is about standard bases in formal power series rings. Quoting,
The main result is that they can be computed, if the ideal is
…
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