Hyper BL-algebras
We put forth the concept of hyper BL-algebras which is a generalization of BL-algebras. We give some non-trivial examples and properties of hyper BL-algebras. Moreover, we introduce weak filters and weak deductive systems of hyper BL-algebras and study the relationships between them. Then we state a...
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| Veröffentlicht in: | Filomat 2018, Vol.32 (19), p.6675-6689 |
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| container_title | Filomat |
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| creator | Xin, Xiao Zou, Xi Zhan, Jian |
| description | We put forth the concept of hyper BL-algebras which is a generalization of
BL-algebras. We give some non-trivial examples and properties of hyper
BL-algebras. Moreover, we introduce weak filters and weak deductive systems
of hyper BL-algebras and study the relationships between them. Then we state
and prove some theorems about weak filters and weak deductive systems. In
particular, we define the concept of regular compatible congruence on hyper
BL-algebras and construct the quotient structure in hyper BL-algebras.
Finally, we discuss the conditions in which a quotient hyper BL-algebra is
an MV-algebra.
nema |
| doi_str_mv | 10.2298/FIL1819675X |
| format | Article |
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BL-algebras. We give some non-trivial examples and properties of hyper
BL-algebras. Moreover, we introduce weak filters and weak deductive systems
of hyper BL-algebras and study the relationships between them. Then we state
and prove some theorems about weak filters and weak deductive systems. In
particular, we define the concept of regular compatible congruence on hyper
BL-algebras and construct the quotient structure in hyper BL-algebras.
Finally, we discuss the conditions in which a quotient hyper BL-algebra is
an MV-algebra.
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BL-algebras. We give some non-trivial examples and properties of hyper
BL-algebras. Moreover, we introduce weak filters and weak deductive systems
of hyper BL-algebras and study the relationships between them. Then we state
and prove some theorems about weak filters and weak deductive systems. In
particular, we define the concept of regular compatible congruence on hyper
BL-algebras and construct the quotient structure in hyper BL-algebras.
Finally, we discuss the conditions in which a quotient hyper BL-algebra is
an MV-algebra.
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BL-algebras. We give some non-trivial examples and properties of hyper
BL-algebras. Moreover, we introduce weak filters and weak deductive systems
of hyper BL-algebras and study the relationships between them. Then we state
and prove some theorems about weak filters and weak deductive systems. In
particular, we define the concept of regular compatible congruence on hyper
BL-algebras and construct the quotient structure in hyper BL-algebras.
Finally, we discuss the conditions in which a quotient hyper BL-algebra is
an MV-algebra.
nema</abstract><doi>10.2298/FIL1819675X</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Filomat, 2018, Vol.32 (19), p.6675-6689 |
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| language | eng |
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| source | Jstor Complete Legacy; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| title | Hyper BL-algebras |
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