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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur +5 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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What Do Large Language Models Know About Materials?
Advanced Engineering Materials, EarlyView.If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer +2 more
wiley +1 more source
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The complete matrix ring over an adjoint regular ring is adjoint regular
Semigroup Forum, 2009A ring \(R\) is adjoint regular if \(R\) forms a regular semigroup with respect to the circle composition \(a\circ b=a+b-ab\). \textit{X.-K. Du} [Northeast. Math. J. 4, No. 4, 463-468 (1988; Zbl 0697.16007)] has conjectured that the ring \(R_n\) of all \(n\times n\) matrices over \(R\) is adjoint regular whenever \(R\) is.
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Acta Mathematica Hungarica, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Groenewald, N. J., Olivier, W. A.
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Groenewald, N. J., Olivier, W. A.
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Acta Mathematica Sinica, English Series, 2002
Various results about (von Neumann) regular rings and their projective modules are carried over to ideals in regular rings. These include relations among the concepts of one-sided unit-regularity, stable rank \(1\), separativity, cancellation and substitution properties. In particular, the authors define a condition they call `the comparability' for an
Chen, Huanyin, Li, Fu-an
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Various results about (von Neumann) regular rings and their projective modules are carried over to ideals in regular rings. These include relations among the concepts of one-sided unit-regularity, stable rank \(1\), separativity, cancellation and substitution properties. In particular, the authors define a condition they call `the comparability' for an
Chen, Huanyin, Li, Fu-an
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Mediterranean Journal of Mathematics, 2018
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Chen, Huanyin +2 more
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Chen, Huanyin +2 more
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Regular Rings are Very Regular
Canadian Mathematical Bulletin, 1982The following problem arose in a conversation with Abraham Zaks: “Suppose R is an associative ring with identity such that every finitely generated left ideal is generated by idempotents. Is R von-Neumann regular?” In the literature the “s” in “idempotents” is missing, and is replaced by “an idempotent”. The answer is, “Yes!”
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Canadian Mathematical Bulletin, 1973
This paper attempts to generalize a property of regular rings, namely,I2=Ifor every right (left) ideal. Rings with this property are called right (left) weakly regular. A ring which is both left and right weakly regular is called weakly regular. Kovacs in [6] proved that, for commutative rings, weak regularity and regularity are equivalent conditions ...
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This paper attempts to generalize a property of regular rings, namely,I2=Ifor every right (left) ideal. Rings with this property are called right (left) weakly regular. A ring which is both left and right weakly regular is called weakly regular. Kovacs in [6] proved that, for commutative rings, weak regularity and regularity are equivalent conditions ...
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