Results 141 to 150 of about 865,901 (361)
Homological conjectures and stable equivalences of Morita type
AIMS MathematicsLet $ A $ and $ B $ be two finite-dimensional algebras over an algebraically closed field. Suppose that $ A $ and $ B $ are stably equivalent of Morita type; we prove that $ A $ satisfies the Auslander–Reiten conjecture (resp.
Juxiang Sun, Guoqiang Zhao
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JACOBIAN CONJECTURE, TWO-DIMENSIONAL CASE
Проблемы анализа, 2016 The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f: R^n → R^n (C^n → C^n) provided that jacobian J_f ≡ const ≠ 0.
V. V. Starkov
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The American Mathematical Monthly, 2016 In a Note in this Monthly, Klazar raised the question of whether the alternating sum of the Stirling numbers of the second kind $B^\pm(n)=\sum_{k=0}^n(-1)^kS(n,k)$ is ever zero for $n\neq 2$. In this article, we present an exposition of the history of this problem, and an economical account of a recent proof that there is at most one $n\neq 2$ for ...
De Angelis, Valerio, Marcello, Dominic
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Hematopoietic (stem) cells—The elixir of life?
FEBS Letters, EarlyView.The aging of HSCs (hematopoietic stem cells) and the blood system leads to the decline of other organs. Rejuvenating aged HSCs improves the function of the blood system, slowing the aging of the heart, kidney, brain, and liver, and the occurrence of age‐related diseases.
Emilie L. Cerezo +4 more
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Embedded minimal tori in S3 and the Lawson conjecture [PDF]
, 2013 Simon Brendle
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FEBS Letters, EarlyView.Bifidobacterium bifidum establishes symbiosis with infants by metabolizing lacto‐N‐biose I (LNB) from human milk oligosaccharides (HMOs). The extracellular multidomain enzyme LnbB drives this process, releasing LNB via its catalytic glycoside hydrolase family 20 (GH20) lacto‐N‐biosidase domain.
Xinzhe Zhang +5 more
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A note on nowhere-zero 3-flow and Z_3-connectivity
, 2014 There are many major open problems in integer flow theory, such as Tutte's 3-flow conjecture that every 4-edge-connected graph admits a nowhere-zero 3-flow, Jaeger et al.'s conjecture that every 5-edge-connected graph is $Z_3$-connected and Kochol's ...
Chen, Fuyuan, Ning, Bo
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Generic Beauville’s Conjecture
Forum of Mathematics, SigmaAbstract Let $\alpha \colon X \to Y$ be a finite cover of smooth curves. Beauville conjectured that the pushforward of a general vector bundle under $\alpha $ is semistable if the genus of Y is at least $1$ and stable if the genus of Y is at least
Izzet Coskun, Eric Larson, Isabel Vogt
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The role and implications of mammalian cellular circadian entrainment
FEBS Letters, EarlyView.At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
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