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A ring is called strongly regular if its multiplicative semigroup is inverse. This definition is equivalent to more conventional definitions of strongly regular rings [for example, to a definition given by \textit{R. Arens} and \textit{I. Kaplansky}, Trans. Am. Math. Soc. 63, 457-481 (1948; Zbl 0032.00702)].
Schein, B.M., Li, L.
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On strongly regular near-rings [PDF]
According to Mason [1] a right near-ring N is called (i) left (right) strongly regular if for every a there is an x in N such that a = xa2 (a = a2x) and (ii) left (right) regular if for every a there is an x in N such that a = xa2 (a = a2x) and a = axa.
Reddy, Y. V., Murty, C. V. L. N.
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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 aR and a positive integer n.
Manal Abd
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Fully idempotent near-rings and sheaf representations
Fully idempotent near-rings are defined and characterized which yields information on the lattice of ideals of fully idempotent rings and near-rings.
Javed Ahsan, Gordon Mason
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Effects of Magnetic Fields on Gas Dynamics and Star Formation in Nuclear Rings
Nuclear rings at the centers of barred galaxies are known to be strongly magnetized. To explore the effects of magnetic fields on star formation in these rings and nuclear gas flows, we run magnetohydrodynamic simulations in which there is a temporally ...
Sanghyuk Moon +3 more
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The functions of the larval salivary glands (SGs) of Drosophila are traditionally associated with the production of a massive secretion during puparium formation; it is exocytosed into a centrally located lumen and subsequently expectorated via ducts ...
Denisa BEŇOVÁ-LISZEKOVÁ +2 more
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ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben +4 more
wiley +1 more source
We introduce in this paper the concept of left 𝑊𝑀𝐶2 rings and concern ourselves with rings containing an injective maximal left ideal. Some known results for left idempotent reflexive rings and left 𝐻𝐼 rings can be extended to left 𝑊𝑀𝐶2 rings.
Junchao Wei
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Tree crowns and growth rings are physiologically and functionally connected through supporting and resource sharing. Management interventions may strongly influence tree growth by altering this linkage.
Shamim Ahmed, Hans Pretzsch
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Examples of strongly π-regular rings
The authors call a ring locally finite if every finite subset in it generates a finite semigroup multiplicatively. The structures of this kind of rings and the relations of these rings and other related rings are studied.
Huh, Chan, Kyun Kim, Nam, Lee, Yang
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