Results 11 to 20 of about 397,514 (346)
Principal Right Ideal Rings [PDF]
Canadian Journal of Mathematics, 1963 This paper is concerned with the recent work of A. W. Goldie (1 ) on principal right ideal rings (p.r.i. rings). We shall prove some of his main structure theorems using the methods of (3) and (4), and in so doing shall weaken some of his hypotheses.
R. E. Johnson
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ON RINGS WHERE LEFT PRINCIPAL IDEALS ARE LEFT PRINCIPAL ANNIHILATORS
International Electronic Journal of Algebra, 2015 The rings in the title are studied and related to right principally injective rings. Many properties of these rings (called left pseudo-morphic by Yang) are derived, and conditions are given that an endomorphism ring is left pseudo-morphic. Some particular results: (1) Commutative pseudo-morphic rings are morphic; (2) Semiprime left pseudo-morphic ...
Victor Camillo, W. K. Nicholson
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Rings in which every principal ideal is finitely presented
Gulf Journal of Mathematics, 2019 In this paper we introduce and investigate a class of those rings in which every principal ideal is finitely presented. We establish the transfer of this notion to the trivial ring extension, direct product and homomorphic image, and then generate new ...
Chahrazade Bakkari +1 more
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Anisotropic Modules over Artinian Principal Ideal Rings [PDF]
Communications in Algebra, 2014 Let V be a finite-dimensional vector space over a field k and let W be a 1-dimensional k-vector space. Let < , >: V x V \to W be a symmetric bilinear form. Then < , > is called anisotropic if for all nonzero v \in V we have \neq 0. Motivated by a problem in algebraic number theory, we come up with a generalization of the concept of ...
Michiel Kosters
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Commutators of trace zero matrices over principal ideal rings
Israel Journal of Mathematics, 2018 We prove that for every trace zero square matrix A of size at least 3 over a principal ideal ring R, there exist trace zero matrices X, Y over R such that XY − YX = A. Moreover, we show that X can be taken to be regular mod every maximal ideal of R. This
Alexander Stasinski
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A Canonical Set For Matrices Over a Principal Ideal Ring Modulo m [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 1955 Leonard E. Fuller
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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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Artinian Principal Ideal Rings Without Identities [PDF]
Journal of the London Mathematical Society, 1975 K. Robin McLean
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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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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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