期刊： ALGEBRA UNIVERSALIS, 2021; 82 (3)
Let S be the commutative and idempotent semiring with additive identity 0 and multiplicative identity 1. The tropical semiring T and the Boolean semir......
期刊： ALGEBRA UNIVERSALIS, 2021; 82 (2)
In this paper, we characterize pseudocomplemented lattices with (ACC) and (DCC) by using their sublattices. Specifically speaking, we give a necessary......
期刊： ALGEBRA UNIVERSALIS, 2021; 82 (2)
In this paper, we study principal element lattices, Prufer lattices and Q-lattices. Also, a necessary and sufficient condition is given for a principa......
期刊： ALGEBRA UNIVERSALIS, 2020; 81 (2)
In this paper, we give an alternative representation of a free S-quantale over a poset. Furthermore, we give the concrete forms of free and cofree S-q......
期刊： ALGEBRA UNIVERSALIS, 2020; 81 (3)
Since the 1970s, the smallest known non-finitely based involution semigroups are of order six. This paper exhibits the first example of a non-finitely......
期刊： ALGEBRA UNIVERSALIS, 2020; 81 (4)
This note shows that several statements about fixpoints in order theory are equivalent to Knaster-Tarski Fixpoint Theorem for complete lattices. All p......
期刊： ALGEBRA UNIVERSALIS, 2020; 81 (1)
Let (BUn, *) be the involution monoid of all Boolean upper triangular nxn matrices with 1s on the main diagonal under the ordinary matrix multiplicati......
期刊： ALGEBRA UNIVERSALIS, 2019; 80 (1)
We establish a characterization of supernilpotent Mal'cev algebras which generalizes the affine structure of abelian Mal'cev algebras and the recent c......
期刊： ALGEBRA UNIVERSALIS, 2019; 80 (4)
It is well known that the set NL of all nuclei on a frame L is again a frame with the pointwise order. As a non-commutative generalization of frames, ......
期刊： ALGEBRA UNIVERSALIS, 2019; 80 (3)
The links between order and topology have been extensively studied. The objective of this paper is to study the similar links between convex spaces an......
期刊： ALGEBRA UNIVERSALIS, 2018; 79 (1)
In this paper, we study the sup-algebra completions of ordered algebras. Firstly, we show that the sup-algebra completions of the ordered algebras A a......
期刊： ALGEBRA UNIVERSALIS, 2018; 79 (3)
Three semilinear substructural logics , and are constructed. Then the completeness of and with respect to classes of finite UL and IUL-algebras, respe......
期刊： ALGEBRA UNIVERSALIS, 2018; 79 (3)
In this paper we study certain actions of a pomonoid S on a complete lattice, which we call S-quantales. Our aim is to characterize epimorphisms in th......
期刊： ALGEBRA UNIVERSALIS, 2017; 77 (4)
The aim of this paper is to study the varieties of ai-semirings satisfying x(s) approximate to x. It is shown that the collection of all such varietie......
