Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Primary 13A15, Secondary 13F05"'
Autor:
Qi, Wei, Zhang, Xiaolei
Let $R$ be a commutative ring. If the nilpotent radical $Nil(R)$ of $R$ is a divided prime ideal, then $R$ is called a $\phi$-ring. In this paper, we first distinguish the classes of nonnil-coherent rings and $\phi$-coherent rings introduced by Bacem
Externí odkaz:
http://arxiv.org/abs/2103.14809
Autor:
Zhang, Xiaolei, Qi, Wei
In this paper, the notions of nonnil-injective modules and nonnil-FP-injective modules are introduced and studied. Especially, we show that a $\phi$-ring $R$ is an integral domain if and only if any nonnil-injective (resp., nonnil-FP-injective) modul
Externí odkaz:
http://arxiv.org/abs/2103.08278
Publikováno v:
JP Journal of Algebra, Number Theory and Applications,Volume 45, Issue 1, Pages 55 - 66 (January 2020)
An integral domain is called {\em Globalized multiplicatively pinched-Dedekind domain $($GMPD domain$)$} if every nonzero non-invertible ideal can be written as $JP_1\cdots P_k$ with $J$ invertible ideal and $P_1,...,P_k$ distinct ideals which are ma
Externí odkaz:
http://arxiv.org/abs/1811.09868
We characterize the commutative rings whose ideals (resp. regular ideals) are products of radical ideals.
Externí odkaz:
http://arxiv.org/abs/1610.04713
Autor:
Rehman, Shafiq ur
Publikováno v:
Miskolc Mathematical Notes, 18 (2017)
We have introduced and studied in [3] the class of Globalized multiplicatively pinched-Dedekind domains (GMPD domains). This class of domains could be characterized by a certain factorization property of the non-invertible ideals, (see [3, Theorem 4]
Externí odkaz:
http://arxiv.org/abs/1610.00702
An integral domain is called {\em Globalized multiplicatively pinched-Dedekind domain $($GMPD domain$)$} if every nonzero non-invertible ideal can be written as $JP_1\cdots P_k$ with $J$ invertible ideal and $P_1,...,P_k$ distinct ideals which are ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81d7bd19b8456efa5ce99b9a493ce116
http://arxiv.org/abs/1811.09868
http://arxiv.org/abs/1811.09868
Autor:
Tiberiu Dumitrescu, Malik Tusif Ahmed
We characterize the commutative rings whose ideals (resp. regular ideals) are products of radical ideals.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7f9dced4c0274daf96581ae9d8b7400
http://arxiv.org/abs/1610.04713
http://arxiv.org/abs/1610.04713
Autor:
Shafiq Ur Rehman
We have introduced and studied in [3] the class of Globalized multiplicatively pinched-Dedekind domains (GMPD domains). This class of domains could be characterized by a certain factorization property of the non-invertible ideals, (see [3, Theorem 4]
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2ad2487ad8d62e45b1bd28dc4ba77ed
http://arxiv.org/abs/1610.00702
http://arxiv.org/abs/1610.00702