2-irreducible and strongly 2-irreducible ideals of commutative rings
نویسندگان
چکیده
منابع مشابه
Commutative Subdirectly Irreducible Radical Rings
A ring R is radical if there is a ring S (with unit) such that R = J (S) (the Jacobson radical). We study the commutative subdirectly irreducible radical rings and show that such a ring is noetherian if and only if is finite. We present a reflection of the commutative radical rings into the category of the commutative rings and derive a lot of examples of the subdirectly irreducible radical rin...
متن کاملWeakly irreducible ideals
Let $R$ be a commutative ring. The purpose of this article is to introduce a new class of ideals of R called weakly irreducible ideals. This class could be a generalization of the families quasi-primary ideals and strongly irreducible ideals. The relationships between the notions primary, quasi-primary, weakly irreducible, strongly irreducible and irreducible ideals, in different rings, has bee...
متن کاملCommutative Ideal Theory without Finiteness Conditions: Completely Irreducible Ideals
An ideal of a ring is completely irreducible if it is not the intersection of any set of proper overideals. We investigate the structure of completely irrreducible ideals in a commutative ring without finiteness conditions. It is known that every ideal of a ring is an intersection of completely irreducible ideals. We characterize in several ways those ideals that admit a representation as an ir...
متن کاملweakly irreducible ideals
let $r$ be a commutative ring. the purpose of this article is to introduce a new class of ideals of r called weakly irreducible ideals. this class could be a generalization of the families quasi-primary ideals and strongly irreducible ideals. the relationships between the notions primary, quasi-primary, weakly irreducible, strongly irreducible and irreducible ideals, in different rings, has bee...
متن کاملStrongly Irreducible Surface Automorphisms
A surface automorphism is strongly irreducible if every essential simple closed curve in the surface intersects its image non-trivially. We show that a three-manifold admits only finitely many surface bundle structures with strongly irreducible monodromy.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2016
ISSN: 1787-2405,1787-2413
DOI: 10.18514/mmn.2016.1490