THE YONEDA ALGEBRA OF A K2 ALGEBRA NEED NOT BE ANOTHER K2 ALGEBRA

被引：2

作者：

Cassidy, Thomas ^{[1
]}

Phan, Christopher ^{[2
]}

Shelton, Brad ^{[2
]}

机构：

[1] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 01期

关键词：

Graded algebra; Koszul algebra; Yoneda algebra;

D O I：

10.1080/00927870902829148

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. K-2 algebras are a natural generalization of Koszul algebras, and one would hope that the Yoneda algebra of a K-2 algebra would be another K-2 algebra. We show that this is not necessarily the case by constructing a monomial K-2 algebra for which the corresponding Yoneda algebra is not K-2.

引用

页码：46 / 48

页数：3

共 50 条

[41] AN OVERVIEW OF THE K2 PROJECT
ANNARATONE, M
BONSEN, GZ
FILLO, M
HALBHERR, M
RUHL, R
STEINER, P
VIREDAZ, M
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1991, 207 (3-5): : 333 - 349
[42] ON INJECTIVE STABILITY FOR K2
KOLSTER, M
LECTURE NOTES IN MATHEMATICS, 1982, 966 : 128 - 168
[43] K2 OF QUATERNION ALGEBRAS
ALPERIN, RC
DENNIS, RK
JOURNAL OF ALGEBRA, 1979, 56 (01) : 262 - 273
[44] Carboxyhemoglobin As High As K2
Juul, N.
Friedenberg, A.
AMERICAN JOURNAL OF RESPIRATORY AND CRITICAL CARE MEDICINE, 2017, 195
[45] K2 Stream Cipher
Kiyomoto, Shinsaku
Tanaka, Toshiaki
Sakurai, Kouichi
E-BUSINESS AND TELECOMMUNICATIONS, 2008, 23 : 214 - +
[46] On the torsion in K2 of a field
Xu KeJian
Liu Min
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (07): : 1187 - 1195
[47] 'K2' - RODDAM,F
OPRAY, M
SIGHT AND SOUND, 1992, 1 (10): : 51 - &
[48] On K2 of division algebras
Guo, XJ
Kuku, A
Qin, HR
COMMUNICATIONS IN ALGEBRA, 2005, 33 (04) : 1073 - 1081
[49] FUNCTOR K2,I
GERSTEN, SM
JOURNAL OF ALGEBRA, 1971, 17 (02) : 212 - &
[50] ON TORSION IN K2 OF FIELDS
KOLSTER, M
JOURNAL OF PURE AND APPLIED ALGEBRA, 1991, 74 (03) : 257 - 273

← 1 2 3 4 5 →