A NOTION OF APPROXIMATE BIPROJECTIVITY FOR BANACH ALGEBRAS WITH RESPECT TO A CLOSED IDEAL

被引：0
|
作者：
Sahami, A. [1 ]
Rostami, M. [2 ]
Aj, M. [3 ]
机构：
[1] Department of Mathematics Faculty of Basic Science, Ilam University, P.O. Box 69315-516, Ilam, Iran
[2] Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran
[3] Department of Mathematics, Farhangian University of Kermanshah, Kermanshah, Iran
来源：
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2024年 / 86卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a notion of approximate biprojectivity with respect to a closed ideal for Banach algebras, say approximate I-biprojectivity. The relation between this new notion and left -contractibility is investigated. Also we study group algebras and Fourier algebras under this new notion. In the final, we give some examples which shows the differences of this new concept and the classical ones. © 2024, Politechnica University of Bucharest. All rights reserved.
引用
收藏
页码：129 / 136
相关论文
共 50 条
  • [1] A NOTION OF APPROXIMATE BIPROJECTIVITY FOR BANACH ALGEBRAS WITH RESPECT TO A CLOSED IDEAL
    Sahami, A.
    Rostami, M.
    Aj, M.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2024, 86 (01): : 129 - 136
  • [2] Approximate biflatness and approximate biprojectivity of some Banach algebras
    Sahami, A.
    QUAESTIONES MATHEMATICAE, 2020, 43 (09) : 1273 - 1284
  • [3] APPROXIMATE BIPROJECTIVITY AND φ-BIFLATNESS OF CERTAIN BANACH ALGEBRAS
    Sahami, A.
    Pourabbas, A.
    COLLOQUIUM MATHEMATICUM, 2016, 145 (02) : 273 - 284
  • [4] Module approximate biprojectivity and module approximate biflatness of Banach algebras
    Abasalt Bodaghi
    Somaye Grailoo Tanha
    Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 409 - 425
  • [5] Module approximate biprojectivity and module approximate biflatness of Banach algebras
    Bodaghi, Abasalt
    Tanha, Somaye Grailoo
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (01) : 409 - 425
  • [6] Approximate Connes-biprojectivity of dual Banach algebras
    Sahami, A.
    Shariati, S. F.
    Pourabbas, A.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (02)
  • [7] Approximate Biprojectivity of l1-Munn Banach Algebras
    Zarei, G.
    Pourabbas, A.
    Rostami, M.
    Sahami, A.
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [8] APPROXIMATE IDEAL AMENABILITY OF BANACH ALGEBRAS
    Gordji, Madjid Eshaghi
    Jabbari, Ali
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2012, 74 (02): : 57 - 64
  • [9] ON APPROXIMATE IDEAL AMENABILITY IN BANACH ALGEBRAS
    Mewomo, O. T.
    ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2010, 56 (01): : 199 - 208
  • [10] ON CHARACTER BIPROJECTIVITY OF BANACH ALGEBRAS
    Pourabbas, Amir
    Sahami, Abdolrasoul
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2016, 78 (04): : 163 - 174
12345