For $n ∈ mathbb{N}$ and $m ∈ mathbb{N}_0$, an algebra $L = (L, ∧, ∨, f, g, 0, 1)$ of type $(2, 2, 1, 1, 0, 0)$is said to be a double $K_{n,m}$-algebra, if L is a double Ockham algebra that satisfies theidentities $f^{2n+m} = f^m, g^{2n+m} = g^m, fg = g^{2zn} and gf = f^{2zn}, where z is the smallestnatural number greater than or equal to m/2n. In this papaer we describe the complement (when itexists) of a principal congruence and, using this description, we also determine when thecomplement exists.
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机译:对于$ n∈ mathbb {N} $和$ m∈ mathbb {N} _0 $,代数$ L =类型((2,2)的(L,∧,∨,f,g,0,1)$ ,1,1,0,0)$如果L是满足身份$ f ^ {2n + m} = f ^ m的双Ockham代数,则称其为双$ K_ {n,m} $-代数, g ^ {2n + m} = g ^ m,fg = g ^ {2zn},gf = f ^ {2zn},其中z是大于或等于m / 2n的最小自然数。在本文中,我们描述了主要一致性的补码(当存在时),并且使用此描述,我们还确定了补码何时存在。
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