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Fuzzy Sets and Systems, 2021
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Zhan, Qiuyan +3 more
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Zhan, Qiuyan +3 more
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State L-algebras and derivations of L-algebras
Soft Computing, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Orthomodular lattices as L-algebras
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Yali, Yang, Yichuan
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Mathematica Slovaca, 2022
Abstract In this paper, we introduce the notion of monadic L-algebras and we study properties of these new structures. We define and investigate the monadic ideals of a monadic L-algebra, and we characterize the monadic ideal generated by a subset of a monadic L-algebra.
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Abstract In this paper, we introduce the notion of monadic L-algebras and we study properties of these new structures. We define and investigate the monadic ideals of a monadic L-algebra, and we characterize the monadic ideal generated by a subset of a monadic L-algebra.
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Discrete Mathematics, Algorithms and Applications
In this paper, we introduced the notion of hyper [Formula: see text]-algebras as a generalization of [Formula: see text]-algebras. We studied basic properties of them and investigated the relationship among hyper [Formula: see text]-algebras and some other hyper logical algebras such as hyper ([Formula: see text],BCI) BCK-algebras and hyper hoops.
S. Niazian +2 more
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In this paper, we introduced the notion of hyper [Formula: see text]-algebras as a generalization of [Formula: see text]-algebras. We studied basic properties of them and investigated the relationship among hyper [Formula: see text]-algebras and some other hyper logical algebras such as hyper ([Formula: see text],BCI) BCK-algebras and hyper hoops.
S. Niazian +2 more
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Algebra universalis, 2021
For L-algebras, their commutativity, self-similarity and ideals, see [\textit{W. Rump}, J. Algebra 320, No. 6, 2328--2348 (2008; Zbl 1158.06009)]. An L-algebra \((A,\to,1)\) is called a KL-algebra (a CL-algebra), if it satisfies also the axiom \(x \to (y \to x) = 1\) (\((x \to (y \to z)) \to (y \to (x \to z)) = 1\)). Any CL-algebra is a KL-algebra. The
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For L-algebras, their commutativity, self-similarity and ideals, see [\textit{W. Rump}, J. Algebra 320, No. 6, 2328--2348 (2008; Zbl 1158.06009)]. An L-algebra \((A,\to,1)\) is called a KL-algebra (a CL-algebra), if it satisfies also the axiom \(x \to (y \to x) = 1\) (\((x \to (y \to z)) \to (y \to (x \to z)) = 1\)). Any CL-algebra is a KL-algebra. The
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Linear L-Algebras and Prime Factorization
Studia Logica, 2022This work is devoted to the study of \(L\)-algebras introduced by the author in [J. Algebra 320, No. 6, 2328--2348 (2008; Zbl 1158.06009)]. Recall that an \(L\)-algebra is a pair of a nonempty set \(X\) and a binary operation \(\cdot\) defined on \(X\) which satisfies the following assertions: \((x\cdot y)\cdot (x\cdot z)=(y\cdot x)\cdot (y\cdot z ...
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Modal operators on \(L\)-algebras
2023Summary: The main goal of this paper is to introduce analogously modal operators on \(L\)-algebras and study their properties. To begin with, we introduce the notion of modal operators on \(L\)-algebras and investigate some important properties of this operator.
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On the cancellation problem for L-algebras
Journal of Algebra and Its Applications, 2023In this paper, we consider the cancellation problem for the cartesian product of [Formula: see text]-algebras. Firstly, we show that [Formula: see text]-algebras with prime element [Formula: see text] and [Formula: see text]-algebras satisfying the condition ([Formula: see text]) are cancellable.
Xianglong Ruan, Xiaochuan Liu
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Applied Categorical Structures, 2004
It is shown that the direct sum of an L ∞ algebra and a module over it has a natural L ∞ algebra structure.
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It is shown that the direct sum of an L ∞ algebra and a module over it has a natural L ∞ algebra structure.
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