Results 61 to 70 of about 451,522 (183)
Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs
AKCE International Journal of Graphs and CombinatoricsLet R be a commutative ring with unity. The prime ideal sum graph [Formula: see text] of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two distinct vertices I and J are adjacent if and only if
Praveen Mathil +3 more
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Derivation Requirements on Prime Near-Rings for Commutative Rings
Jurnal Ilmu Dasar, 2019 Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative ...
Dian Winda Setyawati +2 more
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Prime ideals in certain quantum determinantal rings [PDF]
, 1998 The ideal I generated by the 2x2 quantum minors in the algebra A = O_q(M_{m,n}(k)) (the quantized coordinate algebra of mxn matrices) is investigated. Analogues of the First and Second Fundamental Theorems of Invariant Theory are proved.
Goodearl, K. R., Lenagan, T. H.
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On finiteness of rings with finite maximal subrings
International Journal of Mathematics and Mathematical Sciences, 1993 It is conjectured that every ring with a finite maximal subring is finite. We prove this conjecture for PI-rings.
H. E. Bell, A. A. Klein
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On Higher N-Derivation Of Prime Rings
مجلة بغداد للعلوم, 2014 The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring we proved that:Let R be a prime ring of char.
Baghdad Science Journal
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Finitely generated powers of prime ideals
, 2016 Let R be a commutative ring. If P is a maximal ideal of R whose a power is finitely generated then we prove that P is finitely generated if R is either locally coherent or arithmetical or a polynomial ring over a ring of global dimension $\le$ 2.
Couchot, Francois
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Generalized Derivations of Prime Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 LetRbe an associative prime ring,Ua Lie ideal such thatu2∈Ufor allu∈U. An additive functionF:R→Ris called a generalized derivation if there exists a derivationd:R→Rsuch thatF(xy)=F(x)y+xd(y)holds for allx,y∈R. In this paper, we prove thatd=0orU⊆Z(R)if any one of the following conditions holds: (1)d(x)∘F(y)=0, (2)[d(x),F(y)=0], (3) eitherd(x)∘F(y)=x ...
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On z-Ideals and z ◦ -Ideals of Power Series Rings
Journal of Mathematical Extension, 2013 Let R be a commutative ring with identity and R[[x]] be the ring of formal power series with coefficients in R. In this article we consider sufficient conditions in order that P[[x]] is a minimal prime ideal of R[[x]] for every minimal prime ideal P ...
A. Rezaei Aliabad, R. Mohamadian
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مجلة بغداد للعلوم, 2008 The main purpose of this paper is to study some results concerning reduced ring with another concepts as semiprime ring ,prime ring,essential ideal ,derivations and homomorphism ,we give some results a bout that.
Baghdad Science Journal
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Prime elements and prime sequences in polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1978 The central question of this note concerns the existence of prime elements in polynomial rings. In it are established for polynomial rings over arbitrary noetherian rings—insofar as is generally possible—certain results concerning bases for maximal ideals, well known for polynomial rings over fields and principal ideal domains.
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