Results 31 to 40 of about 4,472,960 (363)
The Ideal Intersection Property for Groupoid Graded Rings [PDF]
, 2010 We show that if a groupoid graded ring has a certain nonzero ideal property, then the commutant of the center of the principal component of the ring has the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring ...
Caenepeel S. +25 more
core +1 more source
Noncommutative generalizations of theorems of Cohen and Kaplansky [PDF]
, 2011 This paper investigates situations where a property of a ring can be tested on a set of "prime right ideals." Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp.
A Kertész +38 more
core +2 more sources
About unital and non-unital duo rings [PDF]
Proceedings of the Estonian Academy of SciencesSeveral results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper.
Mart Abel, Eva-Lotta Elmanovitš
doaj +1 more source
Depth and regularity modulo a principal ideal [PDF]
, 2017 We study the relationship between depth and regularity of a homogeneous ideal I and those of (I, f) and I : f, where f is a linear form or a monomial. Our results have several interesting consequences on depth and regularity of edge ideals of hypergraphs
G. Caviglia +5 more
semanticscholar +1 more source
The Decomposition of a Finitely Generated Module over Some Special Ring
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 This research aims to give the decompositions of a finitely generated module over some special ring, such as the principal ideal domain and Dedekind domain. One of the main problems with module theory is to analyze the objects of the module.
I Gede Adhitya Wisnu Wardhana
doaj +1 more source
Countable Ideals in a Semi-Lattice of the De Enumeration Degrees
Моделирование и анализ информационных систем, 2015 In the article we have proved that any countable ideal in the semi-lattice of the De is the intersection of two principal ideals generated by quasi-minimal covers for this ideal.
V. V. Tikhov
doaj +3 more sources
The regular representations of GLN over finite local principal ideal rings [PDF]
, 2016 Let o be the ring of integers in a non‐Archimedean local field with finite residue field, p its maximal ideal, and r⩾2 an integer. An irreducible representation of the finite group Gr=GLN(o/pr) , for an integer N⩾2 , is called regular if its restriction ...
A. Stasinski, S. Stevens
semanticscholar +1 more source
Constacyclic Codes over Finite Principal Ideal Rings [PDF]
International Conference on Codes, Cryptology, and Information Security, 2015 In this paper, we give an important isomorphism between contacyclic codes and cyclic codes over finite principal ideal rings. Necessary and sufficient conditions for the existence of non-trivial cyclic self-dual codes over finite principal ideal rings ...
A. Batoul +3 more
semanticscholar +1 more source
On the Structure of Principal Ideals of Operators [PDF]
Transactions of the American Mathematical Society, 1978 This paper considers various types of principal ideals generated by single compact operators on a separable Hilbert space. In particular, necessary and sufficient condtions that a principal ideal be normable are given. Relations between principal ideals and duals of Lorentz and Orlicz spaces are also given.
L. C. Shen, G. D. Allen
openaire +1 more source
On Commutative Rings Whose Prime Ideals Are Direct Sums of Cyclics [PDF]
, 2012 In this paper we study commutative rings $R$ whose prime ideals are direct sums of cyclic modules. In the case $R$ is a finite direct product of commutative local rings, the structure of such rings is completely described. In particular, it is shown that
Behboodi, Mahmood +1 more
core +3 more sources