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періодичних видань НАН України
Quasi-valuation maps based on positive implicative ideals in BCK-algebras
Репозиторій DSpace/Manakin
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Quasi-valuation maps based on positive implicative ideals in BCK-algebras
Інший ID:
2010 MSC: 06F35, 03G25, 03C05.
Посилання:
Quasi-valuation maps based on positive implicative ideals in BCK-algebras/ Young Bae Jun, Kyoung Ja Lee, Seok Zun Song // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 65–75. — Бібліогр.: 11 назв. — англ.
Дата:
2018
Переглядів:
200
Завантажень:
63
Анотація:
The notion of PI-quasi-valuation maps of a BCK-algebra is introduced, and related properties are investigated. The relationship between an I-quasi-valuation map and a PI-quasivaluation map is examined. Conditions for an I-quasi-valuation map to be a PI-quasi-valuation map are provided, and conditions for a real-valued function on a BCK-algebra to be a quasi-valuation map based on a positive implicative ideal are founded. The extension property for a PI-quasi-valuation map is established.
