Geodesic
Invertibility of~elements in~infinite-dimensional Grassmann--Banach algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 13-22

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It is shown that in an arbitrary infinite-dimensional Grassmann–Banach algebra over a complete normed field $K$ and belonging to the family considered in the author's earlier [1] an element $a$ is invertible if and only if $a(\varnothing)\ne0_K$. An expression is obtained for the inverse element. 
@article{TMF_1990_84_1_a1,
     author = {V. D. Ivashchuk},
     title = {Invertibility of~elements in~infinite-dimensional {Grassmann--Banach} algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {13--22},
     publisher = {mathdoc},
     volume = {84},
     number = {1},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a1/}
}
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V. D. Ivashchuk. Invertibility of~elements in~infinite-dimensional Grassmann--Banach algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 13-22. http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a1/