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pro vyhledávání: '"Satya Mandal"'
Autor:
Bibekananda Mishra, Satya Mandal
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 53:294-300
For a projective A-module P, with $$n=rank(P)\ge 2$$ , the Homotopy obstruction sets $$\pi _0\left( {{\mathcal {L}}{\mathcal {O}}}(P)\right)$$ were defined, in [6], to detect whether P has a free direct summand or not. These sets have a structure of
Autor:
Satya Mandal
In this book the author takes a pedagogic approach to Algebraic K-theory. He tried to find the shortest route possible, with complete details, to arrive at the homotopy approach of Quillen [Q] to Algebraic K-theory, with a simple goal to produce a se
Autor:
Satya Mandal
Publikováno v:
Journal of Algebra. 494:246-249
This is an erratum to [4] and, as well, to [3] . This article provides examples to indicate inconsistencies, in [3] , [4] .
Publikováno v:
26th Annual European Real Estate Society Conference.
Autor:
Satya Mandal
Publikováno v:
Journal of Algebra. 458:156-170
Suppose $A=k[X_1, X_2, \ldots, X_n]$ is a polynomial ring over a field $k$ and $I$ is an ideal in $A$. Then M. P. Murthy conjectured that $\mu(I)=\mu(I/I^2)$, where $\mu$ denotes the minimal number of generators. Recently, Fasel \cite{F} settled this
Autor:
Satya Mandal, Sarang Sane
Publikováno v:
Journal of Algebra. 440:49-71
We consider bounded complexes P • of finitely generated projective A-modules whose homologies have finite projective dimension and are locally Cohen–Macaulay. We give a necessary and sufficient condition so that its dual P • ⁎ also has the sa
Autor:
Satya Mandal
Publikováno v:
Journal of Algebra. 440:113-127
For quasi-projective schemes X over affine schemes Spec ( A ) , resolving subcategories A of Coh ( X ) were considered. The equivalences of derived categories were established, where M g k ( A ) = { F ∈ Coh ( X ) : dim A ( F ) ∞ , grade ( F )
Autor:
Satya Mandal
Publikováno v:
Journal of Pure and Applied Algebra. 219:3518-3534
In this article we establish some formalism of derived Witt theory for resolving subcategories of abelian categories. Results directly apply to noetherian schemes.
Autor:
Satya Mandal, Manoj K. Keshari
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 44:119-129
Let k be a field of characteristic ≠ 2 and let Qn,m(x1, ..., xn, y1, ..., ym) = x12+...+xn2 − (y12+...+ym2) be a quadratic form over k. Let R(Qn,m) = Rn,m = k[x1, ..., xn, y1, ..., ym]/(Qn,m − 1). In this note we will calculate \(\tilde K_0 \le