Skew PBW extensions over symmetric rings

被引：3
作者：
Reyes, A. [1 ]
Suarez, H. [2 ]
机构：
[1] Univ Nacl Colombia, Dept Math, Fac Sci, Sede Bogota, Bogota, Colombia
[2] Univ Pedag & Tecnol Colombia, Sch Math & Stat, Fac Sci, Tunja, Colombia
来源：
ALGEBRA AND DISCRETE MATHEMATICS | 2021年 / 32卷 / 01期
关键词：
symmetric ring; noncommutative ring; skew PBW extension; ARMENDARIZ RINGS; GROBNER BASES; PRIME IDEALS; MODULES; ALGEBRAS;
D O I：
10.12958/adm1767
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our purpose in this paper is to characterize skew PBW extensions over several weak symmetric rings. As a consequence of our treatment, we extend results in the literature concerning the property of symmetry for commutative rings and skew polynomial rings.
引用
收藏
页码：76 / 102
页数：27
相关论文
共 55 条
  • [21] NONCOMMUTATIVE GROBNER BASES IN ALGEBRAS OF SOLVABLE TYPE
    KANDRIRODY, A
    WEISPFENNING, V
    [J]. JOURNAL OF SYMBOLIC COMPUTATION, 1990, 9 (01) : 1 - 26
  • [22] Extensions of reversible rings
    Kim, NK
    Lee, Y
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2003, 185 (1-3) : 207 - 223
  • [23] Krempa J., 1996, ALGEBRA C, V3, P289
  • [24] REPRESENTATION OF MODULES BY SHEAVES OF FACTOR MODULES
    LAMBEK, J
    [J]. CANADIAN MATHEMATICAL BULLETIN, 1971, 14 (03): : 359 - &
  • [25] Center of skew PBW extensions
    Lezama, Oswaldo
    Venegas, Helbert
    [J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2020, 30 (08) : 1625 - 1650
  • [26] Koszulity and Point Modules of Finitely Semi-Graded Rings and Algebras
    Lezama, Oswaldo
    Gomez, Jaime
    [J]. SYMMETRY-BASEL, 2019, 11 (07):
  • [27] Lezama O, 2016, SAO PAULO J MATH SCI, V10, P60, DOI 10.1007/s40863-015-0010-8
  • [28] Lezama O, 2014, ALGEBRA DISCRET MATH, V18, P109
  • [29] Non-commutative algebraic geometry of semi-graded rings
    Lezama, Oswaldo
    Latorre, Edward
    [J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2017, 27 (04) : 361 - 389
  • [30] Lezama O, 2015, REV UNION MAT ARGENT, V56, P39
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