{
  "abstract": "The definitions of projective objects and Gorenstein projective objects in the category of heaps of $T$-modules are posed, where $T$ is a truss. It is shown that a heap of $T$-modules $P$ is projective if and only if $\\mathcal{G}_{e_p}(P)$ is a projective $R(T)$-module for all $e_p\\in P$ and a heap of $T$-modules $M$ is BP Gorenstein projective if and only if $\\mathcal{G}_{e_m}(M)$ is a Gorenstein projective $R(T)$-module for all $e_m\\in M$. Moreover, we give a functorial description of the BP Gorenstein projective dimension. Finally, it is also proven that a unital truss $T$ is a Gorenstein truss if and only if $R(T)$ is an Iwanaga-Gorenstein ring.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.18328",
  "author_total": 4,
  "authors": [
    {
      "name": "Yongduo Wang"
    },
    {
      "name": "Chenyu Wang"
    },
    {
      "name": "Jian He"
    },
    {
      "name": "Dejun Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dw1bn1xbxt0k2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.18328",
  "fulltext_url": null,
  "id": "dw1bn1xbxt0k2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.18328",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AC"
    ],
    [
      "arxiv",
      "math.KT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7170080461",
  "pdf_url": "https://arxiv.org/pdf/2607.18328",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dw1bn1xbxt0k2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2607.18328",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.18328"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Heaps of modules: homological aspects",
  "title_text": "Heaps of modules: homological aspects",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/dw1bn1xbxt0k2",
  "venue": "arXiv",
  "versions": []
}