Page 1 WINFRIED BRUNS JOSEPH GUBELADZE Polytopes, Rings, and K-Theory Springer
Springer Monographs in Mathematics Page 2 Springer Monographs in Mathematics For further …

“Serre's Conjecture”, for the most part of the second half of the 20th century,-ferred to the
famous statement made by J.-P. Serre in 1955, to the effect that one did not know if? nitely …

Настоящий обзор продолжает описание вклада петербургских математиков в теорию
линейных, классических и алгебраических групп. Вторая часть посвящена работам …

The famous Quillen's Local Global (LG) Principle determines that a finitely presented
module over a polynomial ring R [X] over a commutative ring R is extended if it is “locally” …

For every mathematician, ring theory and K-theory are intimately connected: algebraic K-
theory is largely the K-theory of rings. At first sight, polytopes, by their very nature, must …

The aim of this expository paper is to give a self contained account which is accessible to
students of some of the work done by Indian mathematicians in the field of projective …

Let A be a noetherian commutative ring of dimension d and L be a rank one projectiveA-
module. For 1≤ r≤ d, we define obstruction groups Er (A, L). This extends the original …

Let $ R $ be a commutative Noetherian ring of dimension $ d $. First, we define the"
geometric subring" $ A $ of a polynomial ring $ R [T] $ of dimension $ d+ 1$(the definition of …

The present survey describes the contribution of St. Petersburg mathematicians to the theory
of linear, classical, and algebraic groups. The second part is devoted to the publications by …

A classical result in K-theory about polynomial rings like the Quillen–Suslin theorem admits
an algorithmic approach when the ring of coefficients has some computational properties …