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Now showing items 1-6 of 6

#### Free actions on CW-complexes and varieties of square zero matrices

(Bilkent University, 2011)

Gunnar Carlsson stated a conjecture which gives a lower bound on the rank of a
differential graded module over a polynomial ring with coefficients in algebraically
closed field k when it has a finite dimensional homology ...

#### Monomial Gotzmann sets

(Bilkent University, 2011)

A homogeneous set of monomials in a quotient of the polynomial ring S :=
F[x1, . . . , xn] is called Gotzmann if the size of this set grows minimally when
multiplied with the variables. We note that Gotzmann sets in the ...

#### Canonical induction for trivial source rings

(Bilkent University, 2013)

We discuss the canonical induction formula for some special Mackey functors
by following the construction of Boltje. These functors are the ordinary and
modular character rings and the trivial source rings. Making use ...

#### Invariant rings of modular P-groups

(Bilkent University, 2013)

We consider a finite group acting as linear substitutions on a polynomial ring
and study the corresponding ring of invariants. Computing the invariant ring
and finding its ring theoretical properties is a classical ...

#### Simple functors of admissible linear categories

(Bilkent University, 2013)

We review the notion of an admissible R-linear category for a commutative unital
ring R and we prove the classification theorem for simple functors of such a
category by Barker-Boltje which states that there is a bijective ...

#### Extreme behavior of lex ideals on Betti numbers

(Bilkent University, 2013)

This paper mainly deals with the finitely generated graded modules of the polynomial
ring k[x1, x2, ..., xn]. Free resolutions is an important tool to understand
the structure of these modules. Betti numbers are an useful ...