Page 1 PURE AND APPLIED MATHEMATICS A Series of Monographs and Textbooks LINEAR
ALGEBRA OVER COMMUTATIVE RINGS Bernard R. McDonald Page 2 Linear Algebra Over …

MATROIDS, MOTIVES, AND A CONJECTURE OF KONTSEVICH Page 1 MATROIDS,
MOTIVES, AND A CONJECTURE OF KONTSEVICH PRAKASH BELKALE and PATRICK …

The present paper is the [slightly expanded] text of our talk at the Conference" Advances in
Group Theory and Applications" at Porto Cesareo in June 2011. Our main results assert that …

Geometry over non–existent “field with one element” F1 conceived by Jacques Tits [Ti] half a
century ago recently found an incarnation, in several related but different guises. In this …

A group G is called bounded if every conjugation-invariant norm on G has finite diameter.
We introduce various strengthenings of this property and investigate them in several classes …

In this paper it is established that all two-dimensional polynomial automorphisms over a
regular ring R are stably tame. This results from the main theorem of this paper, which …

This manuscript is not finished. Most of it is in nearly final form, whereas Chapters 8 and 25
are still under construction. Comments are very welcome. The Isomorphism Conjectures due …

These notes are the written-up version of a series of 4 lectures given at the Summer Institute.
Though I tried as much as possible to keep the basic structure of the lectures as well as their …

Let R be a noetherian ring, and G (R) the Grothendieck group of finitely generated modules
over R. For a finite abelian group π, we describe G (Rπ) as the direct sum of groups G (R') …

In this paper we study some natural operations on the K-groups of categories of projective
modules equipped with an endomorphism. We show a list of relations between these …