Maximal orders in unramified central simple algebras

被引：1

作者：

Antieau, Benjamin ^{[1
]}

Chan, Kenneth ^{[2
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St, Chicago, IL 60607 USA

[2] Univ Washington, Dept Math, Box 354350, Seattle, WA 98195 USA

来源：

JOURNAL OF ALGEBRA | 2016年 / 452卷

关键词：

Maximal orders; Depth; Algebraic stacks; SHEAVES;

D O I：

10.1016/j.jalgebra.2015.12.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using depth of coherent sheaves on noetherian algebraic stacks, we construct non-Azumaya maximal orders in unramified central simple algebras over schemes of dimension at leaAt 3. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：94 / 105

页数：12

共 50 条

[31] The maximal orders of generalized quaternion division algebras
Hull, Ralph
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1936, 40 (1-3) : 1 - 11
[32] Semigroup Algebras and Noetherian Maximal Orders: a Survey
Jespers, Eric
ACTA APPLICANDAE MATHEMATICAE, 2009, 108 (01) : 83 - 99
[33] ON MINIMAL AND MAXIMAL ORDERS OF SIMPLE PROCESSES
ROWICKI, A
ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1969, 15 (04): : 359 - &
[34] A DUALITY THEOREM FOR ORDERS IN CENTRAL SIMPLE ALGEBRAS OVER FUNCTION-FIELDS
VANDENBERGH, M
VANGEEL, J
JOURNAL OF PURE AND APPLIED ALGEBRA, 1984, 31 (1-3) : 227 - 239
[35] AUSLANDER-REGULAR ALGEBRAS AND MAXIMAL-ORDERS
STAFFORD, JT
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1994, 50 : 276 - 292
[36] MAXIMAL-ORDERS IN SPLIT NONASSOCIATIVE QUATERNION ALGEBRAS
LEE, HJ
JOURNAL OF ALGEBRA, 1992, 146 (02) : 427 - 440
[37] Maximal orders in rational cyclic algebras of composite degree
Perlis, Sam
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1939, 46 (1-3) : 82 - 96
[38] THE GENUS ZETA FUNCTION OF HEREDITARY ORDERS IN CENTRAL SIMPLE ALGEBRAS OVER GLOBAL FIELDS
DENERT, M
MATHEMATICS OF COMPUTATION, 1990, 54 (189) : 449 - 465
[39] CENTRAL SIMPLE ALGEBRAS
ROWEN, LH
ISRAEL JOURNAL OF MATHEMATICS, 1978, 29 (2-3) : 285 - 301
[40] MAXIMAL SUB-ALGEBRAS OF CENTRAL SEPARABLE ALGEBRAS
RACINE, ML
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 68 (01) : 11 - 15

← 1 2 3 4 5 →