On pretopological groups

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Gürsoy M. H.

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.74, sa.2, ss.210-218, 2025 (ESCI, TRDizin)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 74 Sayı: 2
• Basım Tarihi: 2025
• Doi Numarası: 10.31801/cfsuasmas.1589315
• Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.210-218
• İnönü Üniversitesi Adresli: Evet

Özet

In the present work, we study on pretopological group which is constructed by combined the concepts of the group and preopen set that a weak kind of the open sets. We investigate the best known results in the group theory in terms of pretopological groups. Also, we obtain some characterizations by defining action of a pretopological group on a topological space.