Results 11 to 20 of about 4,751,424 (317)
Characterization of irreducible polynomials over a special principal ideal ring [PDF]
Mathematica Bohemica, 2023 A commutative ring $R$ with unity is called a special principal ideal ring (SPIR) if it is a non integral principal ideal ring containing only one nonzero prime ideal, its length $e$ is the index of nilpotency of its maximal ideal. In this paper, we show
Brahim Boudine
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A note on almost prime submodule of CSM module over principal ideal domain
Journal of Physics: Conference Series, 2021 An almost prime submodule is a generalization of prime submodule introduced in 2011 by Khashan. This algebraic structure was brought from an algebraic structure in ring theory, prime ideal, and almost prime ideal.
I. G. A. W. Wardhana +3 more
semanticscholar +1 more source
Number theoretic properties of the commutative ring Zn [PDF]
International Journal of Research in Industrial Engineering, 2019 This paper deals with the number theoretic properties of non-unit elements of the ring Zn. Let D be the set of all non-trivial divisors of a positive integer n.
Sh. Sajana, D. Bharathi
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Some remarks on non-commutative principal ideal rings [PDF]
, 2013 Sylvain Carpentier +2 more
openalex +3 more sources
Learning Weighted Automata over Principal Ideal Domains [PDF]
Foundations of Software Science and Computation Structure, 2019 In this paper, we study active learning algorithms for weighted automata over a semiring. We show that a variant of Angluin’s seminal \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Gerco van Heerdt +3 more
semanticscholar +1 more source
On Rings Whose Principal Ideals are Generalized Pure Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 This paper , introduces the notion of a right PIGP-ring (a ring in which every principal ideal of R is a GP-ideal ) with some of their basic properties ; we also give necessary and sufficient conditions for PIGP-rings to be a division ring and a regular ...
Husam Mohammad
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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
A NEW CHARACTERIZATION OF PRINCIPAL IDEAL DOMAINS [PDF]
Journal of Mathematical Sciences: Advances and Applications, 2018 In 2008 N.~Q.~Chinh and P.~H.~Nam characterized principal ideal domains as integral domains that satisfy the follo\-wing two conditions: (i) they are unique factorization domains, and (ii) all maximal ideals in them are principal. We improve their result
Katie Christensen +2 more
semanticscholar +1 more source
PILP-rings and fuzzy ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 In this paper, we study rings whose principal right ideals are left pure. Also we shall introduce the concept of a fuzzy bi-ideal in a ring, and give some properties of such fuzzy ideals. We also give a characterization of whose principal right ideal are
Raida Mahmood
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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