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INT-SOFT IMPLICATIVE HYPER <i>BCK</i>-IDEALS IN HYPER <i>BCK</i>-ALGEBRAS
- Issue Date
- Nov-2019
- Publisher
- CENTRAL MISSOURI STATE UNIV, DEPT MATHEMATICS & COMPUTER SCIENCE
- Keywords
- int-soft (weak, strong, s-weak) hyper BCK-ideal; int-soft weak implicative hyper BCK-ideal; int-soft implicative hyper BCK-ideal
- Citation
- MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, v.31, no.2, pp 152 - 163
- Pages
- 12
- Indexed
- SCOPUS
ESCI
- Journal Title
- MISSOURI JOURNAL OF MATHEMATICAL SCIENCES
- Volume
- 31
- Number
- 2
- Start Page
- 152
- End Page
- 163
- ISSN
- 0899-6180
1085-2581
- Abstract
- The notion of an int-soft (weak) implicative hyper BCK-ideal is introduced, and related properties are investigated. Relations between an int-soft weak implicative hyper BCK-ideal, an int-soft implicative hyper BCK-ideal, an int-soft hyper BCK-ideal, and an int-soft strong hyper BCK-ideal are considered, and characterizations of an int-soft weak implicative hyper BCK-ideal are discussed. Conditions for an int-soft hyper BCK-ideal to be an int-soft weak implicative hyper BCK-ideal are provided. Using an int-soft weak implicative hyper BCK-ideal, a new int-soft weak implicative hyper BCK-ideal is established. Finally, we show the hyper homomorphic preimage of an int-soft implicative hyper BCK-ideal is also an int-soft implicative hyper BCK-ideal.
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