Results 21 to 30 of about 4,018,839 (226)

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, Lizhu Guo, Gail W. T. Wilson, Adam B. Cobb, Kun Wang, Li Liu, Huan Zhao, Ding Huang   +7 more
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Armendariz and Reduced Rings

Communications in Algebra, 2004
Abstract A ring R is called Armendariz if, whenever in R[x], a i b j  = 0 for all i and j. In this paper, some “relatively maximal” Armendariz subrings of matrix rings are identified, and a necessary and sufficient condition for a trivial extension to be Armendariz is obtained. Consequently, new families of Armendariz rings are presented.
Lee, T.-K., Zhou, Y.
openaire   +1 more source

Polynomial rings over commutative reduced Hopfian local rings [PDF]

Acta Mathematica Hungarica, 2017
7 pages, no ...
Dhorajia, A. M., Mukherjee, H.
openaire   +3 more sources

ARTINIAN \(\mathbf{M}\)-COMPLETE, \(\mathbf{M}\)-REDUCED, AND MINIMALLY \(\mathbf{M}\)-COMPLETE ASSOCIATIVE RINGS

Ural Mathematical Journal
In 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
doaj   +1 more source

On lattice of Basic Z-Ideals

پژوهش‌های ریاضی, 2021
For an f-ring  with bounded inversion property, we show that  , the set of all basic z-ideals of , partially ordered by inclusion is a bounded distributive lattice.
Ali Taherifar
doaj  

Commutative Medial Near Ring

Ratio Mathematica, 2023
We deliberate a substructure of a near ring called mediality so as to create a new platform, on which many of the properties like commutativity, regular, idempotent and zero symmetric are applied with.
Dhivya C, Radha D
doaj   +1 more source

An extension of the reflexive property of rings

Arab Journal of Mathematical Sciences, 2019
Mason introduced the notion of reflexive property of rings as a generalization of reduced rings. For a ring endomorphism α, Krempa studied α-rigid rings as an extension of reduced rings. In this note, we introduce the notion of α-quasi reflexive rings as
Arnab Bhattacharjee
doaj   +1 more source

Idempotent Reflexive rings whose every simle singular right module are yj-injective [PDF]

المجلة العراقية للعلوم الاحصائية, 2011
In this paper we study rightidempotent reflexive ring whose simple singular right R-module isYJ-injective, we prove that this type of ring is right weakly regular ring, we show that if R is N duo or NCI ring and R is right idempotent reflexive ring ...
doaj   +1 more source

On G.P.P-Rings [PDF]

مجلة التربية والعلم, 2006
In this work we introduce the notion of G.P.P- rings and some of it is basic properties, we prove that if R is a right G.P.P- ring , then R is P.P- ring if r(an)r(a) for every aR and a positive integer n.
Manal Abd
doaj   +1 more source

Commutative rings with homomorphic power functions

International Journal of Mathematics and Mathematical Sciences, 1992
A (commutative) ring R (with identity) is called m-linear (for an integer m≥2) if (a+b)m=am+bm for all a and b in R. The m-linear reduced rings are characterized, with special attention to the finite case.
David E. Dobbs, John O. Kiltinen, Bobby J. Orndorff   +2 more
doaj   +1 more source