Zubkov, A. N. Some properties of Noetherian superschemes. (English. Russian original) Zbl 1423.14296 Algebra Logic 57, No. 2, 130-140 (2018); translation from Algebra Logika 57, No. 2, 197-213 (2018). Summary: Some standard theorems on Noetherian schemes are generalized to the case of Noetherian superschemes. Cited in 4 Documents MSC: 14M30 Supervarieties 14A15 Schemes and morphisms 18B99 Special categories Keywords:Noetherian scheme; Noetherian superscheme; quasicoherent sheaf; bosonization; superalgebra × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Brundan, J, Modular representations of the supergroup \(Q\)(\(n\)). II, Pac. J. Math., 224, 65-90, (2006) · Zbl 1122.20022 · doi:10.2140/pjm.2006.224.65 [2] Masuoka, A; Zubkov, AN, Solvability and nilpotency for algebraic supergroups, J. Pure Appl. Alg., 221, 339-365, (2017) · Zbl 1375.14153 · doi:10.1016/j.jpaa.2016.06.012 [3] R. Hartshorne, Algebraic Geometry, Springer-Verlag, New York (1977). · Zbl 0367.14001 · doi:10.1007/978-1-4757-3849-0 [4] Marko, F; Zubkov, AN, Pseudocompact algebras and highest weight categories, Alg. Represent. Theory, 16, 689-728, (2013) · Zbl 1287.17019 · doi:10.1007/s10468-011-9326-y [5] Masuoka, A, The fundamental correspondences in super affine groups and super formal groups, J. Pure Appl. Alg., 202, 284-312, (2005) · Zbl 1078.16045 · doi:10.1016/j.jpaa.2005.02.010 [6] Masuoka, A; Zubkov, AN, Quotient sheaves of algebraic supergroups are superschemes, J. Alg., 348, 135-170, (2011) · Zbl 1276.14076 · doi:10.1016/j.jalgebra.2011.08.038 [7] T. Y. Lam, Lectures on Modules and Rings, Grad. Texts Math., 189, Springer-Verlag, New York, NY (1999). · Zbl 0911.16001 [8] C. Carmeli, L. Caston, and R. Fioresi, Mathematical Foundations of Supersymmetry, EMS Ser. Lect. Math., Eur. Math. Soc., Zürich (2011). · Zbl 1226.58003 [9] Yu. I. Manin, Gauge Field Theory and Complex Geometry, Grundlehren Math. Wiss., 289, 2nd ed., Berlin, Springer-Verlag (1997). · Zbl 0884.53002 · doi:10.1007/978-3-662-07386-5 [10] M. Demazure and P. Gabriel, Algebraic Groups, Vol. I, Algebraic Geometry. Generalities. Commutative Groups, North-Holland, Amsterdam (1970). · Zbl 0203.23401 [11] Schmitt, T, Regular sequences in Z2-graded commutative algebra, J. Alg., 124, 60-118, (1989) · Zbl 0678.13006 · doi:10.1016/0021-8693(89)90153-1 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.