Search Results - "Lokhande, Swapnil A."
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Rank and rigidity of locally nilpotent derivations of affine fibrations
Published in Communications in algebra (02-12-2021)“…In this exposition, we propose a notion of rank and rigidity of locally nilpotent derivations of affine fibrations. We show that the concept is analogous to…”
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Some K-theoretic properties of the kernel of a locally nilpotent derivation on k[X_1, \dots, X_4]
Published in Transactions of the American Mathematical Society (01-01-2017)“…In this paper we shall demonstrate an explicit k[X_1]-linear fixed point free locally nilpotent derivation D of k[X_1,X_2,X_3, X_4] whose kernel A has an…”
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Parasitoids of Hesperiidae from peninsular India with description of a new species of Dolichogenidea (Hymenoptera: Braconidae) parasitic on caterpillar of Borbo cinnara (Wallace) (Lepidoptera: Hesperiidae)
Published in Zootaxa (19-08-2013)“…Five species of parasitic wasps associated with hesperiids from peninsular India are documented along with the description of a new species of gregarious…”
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A NOTE ON RIGIDITY AND TRIANGULABILITY OF A DERIVATION
Published in Journal of commutative algebra (01-03-2014)“…Let 𝐴 be a Q-domain, 𝐾 = frac(𝐴), 𝐵 = 𝐴[𝑛] and 𝐷 ∈ LND 𝐴(𝐵). Assume rank 𝐷 = rank 𝐷𝐾 = 𝑟, where 𝐷𝐾 is the extension of 𝐷 to 𝐾[𝑛]. Then we…”
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Burning and w-burning of geometric graphs
Published in Discrete Applied Mathematics (15-09-2023)“…Graph burning runs on discrete time-steps. The aim is to burn all the vertices in a given graph using a minimum number of time-steps. This number is known to…”
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SOME 𝐾-THEORETIC PROPERTIES OF THE KERNEL OF A LOCALLY NILPOTENT DERIVATION ON 𝑘[𝑋₁, …, 𝑋₄]
Published in Transactions of the American Mathematical Society (01-01-2017)“…Let 𝑘 be an algebraically closed field of characteristic zero, 𝐷 a locally nilpotent derivation on the polynomial ring 𝑘[𝑋₁, 𝑋₂, 𝑋₃, 𝑋₄] and 𝐴 the…”
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A new host record and a new combination in Cotesia Cameron (Hymenoptera: Braconidae) from India
Published in Journal of threatened taxa (26-02-2013)“…Cotesia tiracolae (=Apanteles tiracolae), new combination proposed, is redescribed and illustrated. It is recorded as a larval parasitoid of Phaedyma columella…”
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Rank and rigidity of locally nilpotent derivations of affine fibrations
Published 19-10-2022“…Communications in Algebra, Volume 49, 2021, Issue 12 In this exposition, we propose a notion of rank and rigidity of locally nilpotent derivations of affine…”
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NP-Completeness Results for Graph Burning on Geometric Graphs
Published 24-10-2020“…Graph burning runs on discrete time steps. The aim is to burn all the vertices in a given graph in the least number of time steps. This number is known to be…”
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Projective modules over overrings of polynomial rings and a question of Quillen
Published 12-08-2014“…JPAA, vol 218 (2014), 1003-1011 Let $(R,\mm,K)$ be a regular local ring containing a field $k$ such that either char $k=0$ or char $k=p$ and tr-deg…”
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Some K-theoretic properties of the kernel of a locally nilpotent derivation on k[X_1, \dots, X_4]
Published 07-01-2015“…Let k be an algebraically closed field of characteristic zero, D a locally nilpotent derivation on the polynomial ring k[X_1, X_2,X_3,X_4] and A the kernel of…”
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A note on rigidity and triangulability of a derivation
Published 28-12-2012“…J. of Commutative Algebra, vol 6 (1), (2014), 95-100 Let A be a $\mathfrak Q$-domain, K=frac(A), B=A^{[n]} and D\in \lnd_A(B). Assume rank D= rank D_K=r, where…”
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