{
  "abstract": "Let ℑ and ℜ be unital complex ∗-algebras, and suppose that ℑ contains a nontrivial projection ℘1. Writing ℘2=ℷℑ−℘1, assume the annihilator conditions ϑℑ℘1=0⇒ϑ=0 and ϑℑ℘2=0⇒ϑ=0. If a bijection Φ:ℑ→ℜ preserves the mixed ternary product [ϑ,ς*∘ϱ]* for all ϑ,ς,ϱ∈ℑ, then Φ is additive. Moreover, if Φ(ℷℑ)=ℷℜ, then Φ is a ∗-preserving ring isomorphism. The result yields corresponding statements for prime ∗-algebras, factor von Neumann algebras, and standard operator algebras. We also show that the identity normalization cannot in general be omitted and indicate several directions for extending the argument to broader preserver problems.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia",
    "Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Sanaa Ahmed Bajri"
    },
    {
      "affs": [
        1
      ],
      "name": "Mohammad Shane Alam",
      "orcid": "0000-0002-8605-2674"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/em1p101b0f9nm.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100756",
  "fulltext_url": null,
  "id": "em1p101b0f9nm",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/756",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7221536410",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/em1p101b0f9nm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100756",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/756"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Advanced Operator Algebra Research",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Bijective Maps Preserving a Mixed Triple Product on ∗-Algebras",
  "title_text": "Bijective Maps Preserving a Mixed Triple Product on ∗-Algebras",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/em1p101b0f9nm",
  "venue": "Axioms",
  "versions": []
}