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The Structure of Semiconic Idempotent Commutative Residuated Lattices
In this paper, we study semiconic idempotent commutative residuated lattices. After giving some properties of such residuated lattices, we obtain a structure theorem for semiconic idempotent commutative residuated lattices. As an application, we make use
Wei Chen
doaj +1 more source
Subrings of I-rings and S-rings
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
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A note on a generalization of injective modules
As a proper generalization of injective modules in term of supplements, we say that a module $M$ has the property (ME) if, whenever $M\subseteq N$, $M$ has a supplement $K$ in $N$, where $K$ has a mutual supplement in $N$. In this study, we obtain that $(
B.N. Türkmen, E. Türkmen
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Dual Lukacs regressions for non-commutative variables
Dual Lukacs type characterizations of random variables in free probability are studied here. First, we develop a freeness property satisfied by Lukacs type transformations of free-Poisson and free-Binomial non-commutative variables which are free. Second,
Szpojankowski, Kamil, Wesolowski, Jacek
core +1 more source
Centrally Essential Rings and Semirings
This paper is a survey of results on centrally essential rings and semirings. A ring (respectively, semiring) is said to be centrally essential if it is either commutative or satisfies the property that for any non-central element a, there exist non-zero
Askar Tuganbaev
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Physical Intelligence in Small‐Scale Robots and Machines
“Physical intelligence” (PI) empowers biological organisms and artificial machines, especially at the small scales, to perceive, adapt, and even reshape their complex, dynamic, and unstructured operation environments. This review summarizes recent milestones and future directions of PI in small‐scale robots and machines.
Huyue Chen, Metin Sitti
wiley +1 more source
This paper deals with the following question: whether a ring of matrices or classes of matrices over an adequate ring or elementary divisor ring inherits the property of adequacy?
A. I. Gatalevych, V. P. Shchedryk
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$q$-Gaussian processes: non-commutative and classical aspects
We examine, for ...
Bozejko, Marek +2 more
core +3 more sources
Redrawing the Mannich‐Type Reaction through Carbonyl Umpolung Reactivity
GA: Herein, a conceptually novel one‐pot multicomponent strategy is reported for the streamlined construction of five‐membered imidazolidines from 1,2‐diaza‐1,3‐dienes (onefold), amines (twofold), and formaldehyde (twofold). This redesigned Mannich‐type reaction that exploits a carbene‐like activity of 1,2‐diaza‐1,3‐dienes (realized by “umpolung ...
Vittorio Ciccone +4 more
wiley +1 more source
A modified D numbers methodology for environmental impact assessment
Environmental impact assessment (EIA) is usually evaluated by many factors influenced by various kinds of uncertainty or fuzziness. As a result, the key issues of EIA problem are to represent and deal with the uncertain or fuzzy information.
Ningkui Wang, Daijun Wei
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