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Ananthapatnayakuni, Phaneendra Kumar, Mukkamala, Sambasiva Rao. (1404). HEMI-COMPLEMENTED LATTICES. , 13(2), 13-35. doi: 10.22044/jas.2023.12747.1689
Phaneendra Kumar Ananthapatnayakuni; Sambasiva Rao Mukkamala. "HEMI-COMPLEMENTED LATTICES". , 13, 2, 1404, 13-35. doi: 10.22044/jas.2023.12747.1689
Ananthapatnayakuni, Phaneendra Kumar, Mukkamala, Sambasiva Rao. (1404). 'HEMI-COMPLEMENTED LATTICES', , 13(2), pp. 13-35. doi: 10.22044/jas.2023.12747.1689
Ananthapatnayakuni, Phaneendra Kumar, Mukkamala, Sambasiva Rao. HEMI-COMPLEMENTED LATTICES. , 1404; 13(2): 13-35. doi: 10.22044/jas.2023.12747.1689

HEMI-COMPLEMENTED LATTICES

Journal of Algebraic Systems
مقاله 2، دوره 13، شماره 2، مهر 2025، صفحه 13-35    اصل مقاله (185.27 K)
نوع مقاله: Original Manuscript
شناسه دیجیتال (DOI): 10.22044/jas.2023.12747.1689
نویسندگان
Phaneendra Kumar Ananthapatnayakuni؛ Sambasiva Rao Mukkamala*
Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India-535005.
چکیده
The notion of hemicomplemented lattices is introduced and some of the properties of these algebras are studied. Some characterization theorems of hemicomplemented lattices are derived with the help of minimal prime D-filters, ideals, and congruences. The notion of D-Stone lattices is introduced and then derived a set of equivalent conditions for a hemicomplemented lattice to become a D-Stone lattice. Hemicom-complemented lattices and D-Stone lattices are characterized in topological terms.
کلیدواژه‌ها
minimal prime D-filter؛ condensed element؛ hemicomplemented lattice؛ D-Stone lattice؛ Hausdorff space
مراجع
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آمار
تعداد مشاهده مقاله: 276
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