Results 11 to 20 of about 4,289,373 (226)
On p.p.-rings which are reduced [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Denote the 2×2 upper triangular matrix rings over ℤ and ℤp by UTM2(ℤ) and UTM2(ℤp), respectively. We prove that if a ring R is a p.p.-ring, then R is reduced if and only if R does not contain any subrings isomorphic to UTM2(ℤ) or UTM2(ℤp).
Xiaojiang Guo, K. P. Shum
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On Commutative Reduced Baer Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2004 It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected space; if and only if every non-zero ideal of R is essential in a ...
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Reduced p.p.‐rings without identity [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We give some necessary and sufficient conditions for p.p.‐rings without identity to be reduced. Our results strengthen and extend the results of Fraser and Nicholson as well as some recent results we obtained on reduced p.p.‐rings with identity.
Xiaojiang Guo, K. P. Shum
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A GENERALIZATION OF REDUCED RINGS
Journal of Algebra and Its Applications, 2012 Let R be a ring with identity. We introduce a class of rings which is a generalization of reduced rings. A ring R is called central rigid if for any a, b is an element of R, a(2)b = 0 implies ab belongs to the center of R. Since every reduced ring is central rigid, we study sufficient conditions for central rigid rings to be reduced. We prove that some
KOSE, Handan +2 more
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On orthogonal completion of reduced rings [PDF]
Pacific Journal of Mathematics, 1983 It is known that the relation \(a\leq b\) if \(a\cdot b=a^ 2\) defined for reduced rings R (rings with no nonzero nilpotent elements) makes R into a partially ordered multiplicative semigroup. A subset X of R is called an orthogonal subset of R if for x,\(y\in X\), \(x\neq y\) implies \(x\cdot y=0\).
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On reduced archimedean skew power series rings [PDF]
Journal of Algebra and Its Applications, 2020 In this paper, we prove that if [Formula: see text] is an Archimedean reduced ring and satisfy ACC on annihilators, then [Formula: see text] is also an Archimedean reduced ring. More generally, we prove that if [Formula: see text] is a right Archimedean ring satisfying the ACC on annihilators and [Formula: see text] is a rigid automorphism of [Formula:
Mousavi, Hamed +2 more
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Assessing soil microbes that drive fairy ring patterns in temperate semiarid grasslands
BMC Ecology and Evolution, 2022 Background Fairy rings occur in diverse global biomes; however, there is a critical knowledge gap regarding drivers of fairy rings in grassland ecosystems. Grassland fairy rings are characterized belowground by an expanding mycelial front and aboveground
Jiahuan Li +7 more
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The Decomposition of Tree-Ring Series for Environmental Studies
, 1987 Signal extraction in tree-ring research is considered as a general time series decomposition problem. A linear aggregate model for a hypothetical ring-width series is proposed, which allows the problem to be reduced to the estimation and extraction of ...
Cook, Edward R.
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Revised Computer Programs for Tree-Ring Research
, 1979 Three computer programs that are basic to the processing and development of tree -ring chronologies are now available. They were designed to refine and replace older programs that were previously furnished by the laboratory.
Graybill, Donald A.
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Ural Mathematical JournalIn 1996, the first author defined analogs of the concepts of complete (divisible), reduced, and periodic abelian groups, well-known in the theory of abelian groups, for arbitrary varieties of algebras. In 2021, the first author proposed a modification of
Leonid M. Martynov, Tatiana V. Pavlova
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