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Iranian Journal of Fuzzy Systems، جلد ۸، شماره ۵، صفحات ۱۳-۳۰
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| عنوان فارسی |
ON ALGEBRAIC AND COALGEBRAIC CATEGORIES OF VARIETY-BASED TOPOLOGICAL SYSTEMS |
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| چکیده فارسی مقاله |
Motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by S. Vickers, providing an algebraic and a coalgebraic category of the new structures. As a result, the nature of the category TopSys of S. Vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalued) topology can be embedded into algebra. |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
ON ALGEBRAIC AND COALGEBRAIC CATEGORIES OF VARIETY-BASED TOPOLOGICAL SYSTEMS |
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| چکیده انگلیسی مقاله |
Motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by S. Vickers, providing an algebraic and a coalgebraic category of the new structures. As a result, the nature of the category TopSys of S. Vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalued) topology can be embedded into algebra. |
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| کلیدواژه‌های انگلیسی مقاله |
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| نویسندگان مقاله |
sergey a solovyov | sergey a
department of mathematics, university of latvia, zellu iela 8, lv-1002 riga, latvia and institute of mathematics and computer science, university of latvia, raina bulvaris 29, lv-1459 riga, latvia
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| نشانی اینترنتی |
http://ijfs.usb.ac.ir/article_295_78807b744112194d3dde64cbaf1cf650.pdf |
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| زبان مقاله منتشر شده |
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