Results 21 to 30 of about 4,751,424 (317)
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
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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
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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
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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
Projective prime ideals and localisation in pi-rings [PDF]
, 2001 The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +2 more
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Decomposition of finitely generated projective modules over Bezout ring [PDF]
Математичні Студії, 2013 It is shown that a commutative Bezout ring $R$ of stable range 2 isan elementary divisor ring if and only if for each ideal $I$ everyfinitely generated projective $R/I$-module is a direct sum ofprincipal ideals generated by idempotents.
B. V. Zabavsky, S. І. Bilavska
doaj
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
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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
Severi-Bouligand tangents, Frenet frames and Riesz spaces [PDF]
, 2014 It was recently proved that a compact set $X\subseteq \mathbb R^2$ has an outgoing Severi-Bouligand tangent vector $u\not=0$ at $x\in X$ iff some principal ideal of the Riesz space $\mathcal R(X)$ of piecewise linear functions on $X$ is not an ...
Cabrer, Leonardo Manuel +1 more
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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
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