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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 79, Number 1, Pages 30–40 (Mi tmf4806)  
This article is cited in 8 scientific papers (total in 8 papers)

Annihilators in infinite-dimensional Grassmann–Banach algebras

V. D. Ivashchuk
Full-text PDF (1002 kB) Citations (8)
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Abstract: A family of infinite-dimensional Grassmann–Banach algebras over a complete normalized field $K$ is considered. It is proved that any element $G$ of the family is an associative supercommutative Banach superalgebra over $K$, i. e. $G=G_0\oplus G_1$ with the zero annihilators $G_0^\perp=G_1^\perp=(G_1^{(k)})^\perp=\{0\}$, $k\geqslant2$.
Received: 17.09.1987
English version:
Theoretical and Mathematical Physics, 1989, Volume 79, Issue 1, Pages 361–368
DOI: https://doi.org/10.1007/BF01015775
Bibliographic databases:
Language: Russian
Citation: V. D. Ivashchuk, “Annihilators in infinite-dimensional Grassmann–Banach algebras”, TMF, 79:1 (1989), 30–40; Theoret. and Math. Phys., 79:1 (1989), 361–368
Citation in format AMSBIB
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\by V.~D.~Ivashchuk
\paper Annihilators in~infinite-dimensional Grassmann--Banach algebras
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\vol 79
\issue 1
\pages 30--40
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\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 79
\issue 1
\pages 361--368
\crossref{https://doi.org/10.1007/BF01015775}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989CA79100003}
Linking options:
  • https://www.mathnet.ru/eng/tmf4806
  • https://www.mathnet.ru/eng/tmf/v79/i1/p30
    • This publication is cited in the following 8 articles:
    1. John Howie, Steven Duplij, Ali Mostafazadeh, Masaki Yasue, Vladimir Ivashchuk, Concise Encyclopedia of Supersymmetry, 2004, 201  crossref
    2. A. Yu. Khrennikov, R. Cianci, “Nonlinear evolution equations with (1,1)-supersymmetric time”, Theoret. and Math. Phys., 97:2 (1993), 1267–1272  mathnet  crossref  mathscinet  zmath  isi
    3. V. D. Ivashchuk, “Tensor Banach algebras of projective type. I”, Theoret. and Math. Phys., 91:1 (1992), 336–345  mathnet  crossref  mathscinet  zmath  isi
    4. V. D. Ivashchuk, “Tensor Banach algebras of projective type. II. The $l_1$ case”, Theoret. and Math. Phys., 91:2 (1992), 462–473  mathnet  crossref  mathscinet  zmath  isi
    5. A. Yu. Khrennikov, “On the theory of infinite-dimensional superspace: reflexive Banach supermodules”, Russian Acad. Sci. Sb. Math., 77:2 (1994), 331–350  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. A. Yu. Khrennikov, “Generalized functions on a Non-Archimedean superspace”, Math. USSR-Izv., 39:3 (1992), 1209–1238  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. Vladimir Pestov, “Ground Algebras for superanalysis”, Reports on Mathematical Physics, 29:3 (1991), 275  crossref
    8. V. D. Ivashchuk, “Invertibility of elements in infinite-dimensional Grassmann–Banach algebras”, Theoret. and Math. Phys., 84:1 (1990), 682–688  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:52
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