A class of retracts of polynomial algebras

被引：2

作者：

Liu, Dayan ^{[1
]}

Sun, Xiaosong ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2018年 / 222卷 / 02期

关键词：

CANCELLATION PROBLEM; AFFINE SPACE;

D O I：

10.1016/j.jpaa.2017.04.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that all retractions of polynomial algebras with sparse homogeneous parts are conjugate to the canonical ones, and as a consequence, the corresponding retracts are isomorphic to polynomial algebras. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：382 / 386

页数：5

共 50 条

[31] Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras
Xiangui Zhao
Science China Mathematics, 2023, 66 : 887 - 906
[32] A CLASS OF P-POLYNOMIAL TABLE ALGEBRAS WITH AND WITHOUT INTEGER MULTIPLICITIES
Blau, Harvey I.
Hein, Robert J.
COMMUNICATIONS IN ALGEBRA, 2014, 42 (12) : 5387 - 5424
[33] SOME RESULTS ON CHARACTERS OF A CLASS OF P-POLYNOMIAL TABLE ALGEBRAS
Amiraslani, Amir
Koohestani, Masoumeh
Barghi, Amir rahnamai
MISKOLC MATHEMATICAL NOTES, 2024, 25 (01) : 49 - 62
[34] POLYNOMIAL ALGEBRAS
RAGHAVACHARYULU, IV
MENON, NB
JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (10) : 3055 - +
[35] POLYNOMIAL GRADED SUBALGEBRAS OF POLYNOMIAL ALGEBRAS
Jedrzejewicz, Piotr
Nowicki, Andrzej
COMMUNICATIONS IN ALGEBRA, 2012, 40 (08) : 2853 - 2866
[36] LOCALLY POLYNOMIAL ALGEBRAS ARE SYMMETRIC ALGEBRAS
BASS, H
CONNELL, EH
WRIGHT, DL
INVENTIONES MATHEMATICAE, 1977, 38 (03) : 279 - 299
[37] A CLASS OF ABSOLUTE RETRACTS IN SPACES OF INTEGRABLE FUNCTIONS
BRESSAN, A
CELLINA, A
FRYSZKOWSKI, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 112 (02) : 413 - 418
[38] Realizable Polynomial Algebras
Pan Jianzhong Institute of Mathematics Academia Sinica Beijing
Acta Mathematica Sinica,English Series, 1994, (03) : 243 - 248
[39] Quantum polynomial algebras
Artamonov V.A.
Journal of Mathematical Sciences, 1997, 87 (3) : 3441 - 3462
[40] Polynomial Heisenberg algebras
Carballo, JM
Fernández, DJ
Negro, J
Nieto, LM
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (43): : 10349 - 10362

← 1 2 3 4 5 →