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A question about higher order z-ideals in commutative rings
被引:8
作者
:
Benhissi, A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Monastir, Fac Sci, Dept Math, Monastir 5000, Tunisia
Univ Monastir, Fac Sci, Dept Math, Monastir 5000, Tunisia
Benhissi, A.
[
1
]
Maatallah, A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Monastir, Fac Sci, Dept Math, Monastir 5000, Tunisia
Univ Monastir, Fac Sci, Dept Math, Monastir 5000, Tunisia
Maatallah, A.
[
1
]
机构
:
[1]
Univ Monastir, Fac Sci, Dept Math, Monastir 5000, Tunisia
来源
:
QUAESTIONES MATHEMATICAE
|
2020年
/ 43卷
/ 08期
关键词
:
z-ideal;
higher order z-ideal;
D O I
:
10.2989/16073606.2019.1601647
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
Let D be a principal ideal domain, p an irreducible element of D and m a nonzero positive integer. In this paper we show that the ring D/p(m) D answers the question asked by Dube and Ighedo in [1] concerning higher order z-ideals.
引用
收藏
页码:1155 / 1157
页数:3
相关论文
共 3 条
[1]
HIGHER ORDER Z-IDEALS IN COMMUTATIVE RINGS
[J].
Dube, Themba
论文数:
0
引用数:
0
h-index:
0
机构:
Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Pretoria, South Africa
Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Pretoria, South Africa
Dube, Themba
;
Ighedo, Oghenetega
论文数:
0
引用数:
0
h-index:
0
机构:
Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Pretoria, South Africa
Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Pretoria, South Africa
Ighedo, Oghenetega
.
MISKOLC MATHEMATICAL NOTES,
2016,
17
(01)
:171
-185
[2]
Kohls C.W., 1957, Fund. Math, V45, P28, DOI [10.4064/fm-45-1-28-50, DOI 10.4064/FM-45-1-28-50]
[3]
Z-IDEALS AND PRIME IDEALS
[J].
MASON, G
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV NEW BRUNSWICK,DEPT MATH,FREDERICTON,NEW BRUNSWICK,CANADA
UNIV NEW BRUNSWICK,DEPT MATH,FREDERICTON,NEW BRUNSWICK,CANADA
MASON, G
.
JOURNAL OF ALGEBRA,
1973,
26
(02)
:280
-297
←
1
→
共 3 条
[1]
HIGHER ORDER Z-IDEALS IN COMMUTATIVE RINGS
[J].
Dube, Themba
论文数:
0
引用数:
0
h-index:
0
机构:
Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Pretoria, South Africa
Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Pretoria, South Africa
Dube, Themba
;
Ighedo, Oghenetega
论文数:
0
引用数:
0
h-index:
0
机构:
Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Pretoria, South Africa
Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Pretoria, South Africa
Ighedo, Oghenetega
.
MISKOLC MATHEMATICAL NOTES,
2016,
17
(01)
:171
-185
[2]
Kohls C.W., 1957, Fund. Math, V45, P28, DOI [10.4064/fm-45-1-28-50, DOI 10.4064/FM-45-1-28-50]
[3]
Z-IDEALS AND PRIME IDEALS
[J].
MASON, G
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV NEW BRUNSWICK,DEPT MATH,FREDERICTON,NEW BRUNSWICK,CANADA
UNIV NEW BRUNSWICK,DEPT MATH,FREDERICTON,NEW BRUNSWICK,CANADA
MASON, G
.
JOURNAL OF ALGEBRA,
1973,
26
(02)
:280
-297
←
1
→