Results 11 to 20 of about 2,014,536 (376)
A characterization of skew $b$-derivations in prime rings [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a prime ring, $\alpha$ an automorphism of $R$ and $b$ an element of $Q$, the maximal right ring of quotients of $R$. The main purpose of this paper is to characterize skew $b$-derivations in prime rings which satisfy various differential ...
Shakir Ali +3 more
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Mathematics, 2021 The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
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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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On 3-prime ideal with respect to an element of a near ring
Journal of Kufa for Mathematics and Computer, 2014 In this paper ,we introduce the notions 3- prime ideal with respect to an element x denoted by (x-3-prime ideal ) of a near ring and the 3-prime ideal near ring with respect to an element x denoted by (x-3-prime ideal near ring ) ,and
Showq M. Ibrahem
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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
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A description of linear mappings in semiprime rings with involution [PDF]
BIO Web of ConferencesThe main purpose of this paper is to descriptive the action of the linear mappings in semi-prime rings and prime ring with involution. More precisely, we establish some results for centralizer mappings (resp.
Horan Angham Shaban, Atteya Mehsin Jabel
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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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On Noetherian prime rings [PDF]
Transactions of the American Mathematical Society, 1965 Classical left quotient rings are defined symmetrically. R is right (resp. left) quotient-simple in case R has a classical right (resp. left) quotient ring S which is isomorphic to a complete ring Dn of n X n matrices over a (not necessarily commutative) field D. R is quotient-simple if R is both left and right quotient-simple.
Faith, Carl, Utumi, Yuzo
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Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring
Fuzzy Information and Engineering, 2023 In this paper, a systematic theory for the ideals of an L-ring L(μ,R) has been developed. Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring.
Anand Swaroop Prajapati +2 more
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High Spatial Resolution X-Ray Spectroscopy of the IC443 Pulsar Wind Nebula and Environs [PDF]
, 2015 Deep Chandra ACIS observations of the region around the putative pulsar, CXOU J061705.3+222127, in the supernova remnant IC443 reveal an ~5$^{\prime\prime}$-radius ring-like structure surrounding the pulsar and a jet-like feature oriented roughly north ...
Bucciantini, Niccolò +9 more
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