STRONGLY BAER AND STRONGLY QUASI-BAER SEMIRINGS AND GENERALIZATIONS

被引：2

作者：

Gupta, V. ^{[1
]}

Chaudhari, J. N. ^{[2
]}

Kumar, P. ^{[3
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] MJ Coll, Dept Math, Jalgaon 425002, India

[3] Univ Delhi, Hindu Coll, Dept Math, Delhi 110007, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2009年 / 2卷 / 04期

关键词：

Strongly Baer semiring; strongly quasi-Baer semiring; strongly p.p. semiring; strongly quasi-p.p. semiring; regular semiring; pi-regular semiring; nilpotent free semiring;

D O I：

10.1142/S1793557109000492

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study strongly Baer semirings, strongly quasi-Baer semirings and generalizations. We extend the results of ([3], [11], [13], [14], [15]) to noncommutative semirings with identity element 1 not equal 0.

引用

页码：579 / 591

页数：13

共 50 条

[21] Weakly principally quasi-Baer rings
Majidinya, A.
Moussavi, A.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (01)
[22] ORE EXTENSIONS OF QUASI-BAER RINGS
Hong, Chan Yong
Kim, Nam Kyun
Lee, Yang
COMMUNICATIONS IN ALGEBRA, 2009, 37 (06) : 2030 - 2039
[23] Quasi-Baer module hulls and their examples
Park, Jae Keol
Rizvi, S. Tariq
CATEGORICAL, HOMOLOGICAL AND COMBINATORIAL METHODS IN ALGEBRA, 2020, 751 : 271 - 301
[24] Baer and Quasi-Baer Properties of Skew Generalized Power Series Rings
Paykan, K.
Moussavi, A.
COMMUNICATIONS IN ALGEBRA, 2016, 44 (04) : 1615 - 1635
[25] Group Actions on Quasi-Baer Rings
Jin, Hai Lan
Doh, Jaekyung
Park, Jae Keol
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2009, 52 (04): : 564 - 582
[26] Quasi-Baer module hulls and applications
Lee, Gangyong
Park, Jae Keol
Rizvi, S. Tariq
Roman, Cosmin S.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (09) : 2427 - 2455
[27] Direct sums of quasi-Baer modules
Lee, Gangyong
Rizvi, S. Tariq
JOURNAL OF ALGEBRA, 2016, 456 : 76 - 92
[28] A sheaf representation of quasi-Baer rings
Birkenmeier, GF
Kim, JY
Park, JK
JOURNAL OF PURE AND APPLIED ALGEBRA, 2000, 146 (03) : 209 - 223
[29] On ore extensions of quasi-Baer rings
Nasr-Isfahani, A. R.
Moussavi, A.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2008, 7 (02) : 211 - 224
[30] Polynomial extensions of quasi-Baer rings
Hashemi, E
Moussavi, A
ACTA MATHEMATICA HUNGARICA, 2005, 107 (03) : 207 - 224

← 1 2 3 4 5 →