✦ LIBER ✦

Picard Groups, Grothendieck Rings, and Burnside Rings of Categories

✍ Scribed by J.P. May

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 138 KB
Volume: 163
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.2001.1996

No coin nor oath required. For personal study only.

✦ Synopsis

for spurring me to write these observations, and I thank Halvard Fausk and Gaunce Lewis for careful readings of several drafts and many helpful comments. I thank Madhav Nori and Hyman Bass for help with the ring theory examples and Peter Freyd, Michael Boardman, and Neil Strickland for facts about cancellation phenomena in topology. I thank Fabien Morel for many interesting discussions of examples in algebraic geometry.

📜 SIMILAR VOLUMES

Actions of Picard Groups on Graded Rings

✍ Jeremy Haefner; Angel del Rı&#x0301;o 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 230 KB

fect or the grading of R is simpler e.g., R is a crossed product or a skew . group ring . We apply our solution of Problem A to the study of a more concrete problem: Problem B. Characterize semisimple strongly G-graded rings.

Units of Burnside Rings of Elementary Ab

Units of Burnside Rings of Elementary Abelian 2-Groups

✍ Michael A Alawode 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 98 KB

A Connection between Units of Burnside R

A Connection between Units of Burnside Rings and the Exterior Algebra of Elementary Abelian 2-Groups

✍ Michael A Alawode 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 126 KB

On the Picard Group of the Integer Group

On the Picard Group of the Integer Group Ring of the Cyclic p-Group and Certain Galois Groups

✍ Alexander Stolin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 324 KB

In the present paper we deal with the canonical projection Pic Z Here p is any odd prime number, `pk k =1 and C n is the cyclic group of order p n . I proved in (Stolin, 1997), that the canonical projection Pic Z[`n] Ä Cl Z[`n] can be split. If p is a properly irregular, not regular prime number, t

Units of Group Rings of Solvable and Fro

Units of Group Rings of Solvable and Frobenius Groups over Large Rings of Cyclotomic Integers

✍ J. Ritter; S.K. Sehgal 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 411 KB

Finitely Determined Members of Varieties

Finitely Determined Members of Varieties of Groups and Rings

✍ Oleg Belegradek 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 138 KB

A finitely generated algebra A in a variety V V is called finitely determined in V V if there exists a finite V V-consistent set of equalities and inequalities in an alphabet containing the generating set of A, which, together with the identities of V V , yields all relations and non-relations of A.