{
  "id": "1506.03035",
  "version": "v1",
  "published": "2015-06-09T18:37:51.000Z",
  "updated": "2015-06-09T18:37:51.000Z",
  "title": "Module Biflatness of the second dual of Banach algebras",
  "authors": [
    "Abasalt Bodaghi",
    "Ali Jabbari"
  ],
  "comment": "Accepted:Mathematical Reports. arXiv admin note: text overlap with arXiv:0912.4005",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $\\mathcal A$ be a Banach algebra. Using the concept of module biflatness, we show that the module amenability of the second dual $\\mathcal A^{**}$ (with the first Arens product) necessitates the module amenability of $\\mathcal A$. We give some examples of Banach algebras $\\mathcal A$ such that $\\mathcal A^{**}$ are module biflat, but which are not themselves module biflat.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-09T18:37:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach algebra",
      "module biflatness",
      "second dual",
      "module amenability",
      "first arens product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150603035B"
    }
  }
}