CHARACTERIZATION OF TERNARY ALGEBRAIC OPERATIONS OF IDEMPOTENT ALGEBRAS
2010 ◽
Vol 20
(08)
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pp. 991-999
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In this paper, we characterize the set of all ternary algebraic (or polynomial) operations of idempotent algebras that have at least one binary and one ternary algebraic operation depending on every variable, and there exists an integer r > 2 such that there is not any r-ary algebraic operation depending on every variable. We prove that this set forms a finite DeMorgan algebra with a fixed element and then we characterize this DeMorgan algebra.
2014 ◽
Vol 42
(6)
◽
pp. 2533-2543
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2019 ◽
Vol 18
(10)
◽
pp. 1950195
Keyword(s):
2020 ◽
Vol 5
(1)
◽
pp. 61-68
1974 ◽
Vol 32
◽
pp. 254-255
1983 ◽
Vol 41
◽
pp. 270-271