Open AccessDistributive Rings and Some Domains
Author(s) -
Shahad Mohammed Moteea,
Muthana A. Mahmood
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1963/1/012061
Subject(s) - distributive property , ring (chemistry) , radical of a ring , noetherian , boolean ring , mathematics , invariant (physics) , domain (mathematical analysis) , pure mathematics , multiplication (music) , principal ideal ring , discrete mathematics , algebra over a field , combinatorics , chemistry , commutative ring , mathematical analysis , organic chemistry , commutative property , mathematical physics
: In this paper, we study many relationships about Distributive ring and other domain such as Dedekind domain and Noetherian domain. We prove if any divisible module over a ring T, then T is Distributive ring. Also we satisfy if T is invariant ring have multiplication ideal this imply T is a Distributive ring. Finally, we study strongly duo ring and related to Distributive ring.