Kucera, Thomas G. Pillay, Anand
Published in
Algebra universalis

We extend the concept of “almost indiscernible theory” introduced by Pillay and Sklinos in 2015 (which was itself a modernization and expansion of Baldwin and Shelah from 1983), to uncountable languages and uncountable parameter sequences. Roughly speaking a theory T\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage...

Zangurashvili, Dali
Published in
Algebra universalis

A new protomodular analog of the classical criterion for the existence of a group term in the algebraic theory of a variety of universal algebras is given. To this end, the notion of a right-cancellable protomodular algebra is introduced. The translation group functor from the category of right-cancellable algebras of a protomodular variety to the ...

Facchini, Alberto Finocchiaro, Carmelo Antonio Janelidze, George
Published in
Algebra universalis

The main purpose of this paper is a wide generalization of one of the results abstract algebraic geometry begins with, namely of the fact that the prime spectrum Spec(R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \se...

Zafrullah, Muhammad
Published in
Algebra universalis

Call a directed partially ordered cancellative divisibility monoid M a Riesz monoid if for all x,y1,y2≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x,y_{1},y_{2}\ge...

Lipparini, Paolo
Published in
Algebra universalis

Mitschke showed that a variety with an m-ary near-unanimity term has Jónsson terms t0,⋯,t2m-4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t_0, \dots , t _{2m-4} $$\e...

Herrmann, Christian
Published in
Algebra universalis

We study the computational complexity of the satisfiability problem and the complement of the equivalence problem for complemented (orthocomplemented) modular lattices L and classes thereof. Concerning a simple L of finite height, NP\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \u...

Zhuchok, Anatolii V. Kryklia, Yana A.
Published in
Algebra universalis

In the author’s recent paper, the free left (right) n-trinilpotent trioid was constructed. Our aim is to characterize the least left (right) n-trinilpotent congruence on the free trioid.

Bhattacharjee, Papiya Dube, Themba
Published in
Algebra universalis

We abstract the notion of fraction-density of f-rings (introduced by Anthony Hager and Jorge Martínez) to algebraic frames. We say an algebraic frame with the finite intersection property on compact elements is fraction-dense if each of its polars is a polar of a compact element. This turns out to be a “conservative” extension of the fraction-densi...

Jovanović, Jelena Šešelja, Branimir Tepavčević, Andreja
Published in
Algebra universalis

By several postulates we introduce a new class of algebraic lattices, in which a main role is played by so called normal elements. A model of these lattices are weak-congruence lattices of groups, so that normal elements correspond to normal subgroups of subgroups. We prove that in this framework many basic structural properties of groups turn out ...

Zhang, Guangliang Chen, Yuqun Zhang, Zerui
Published in
Algebra universalis

We construct the free products of arbitrary digroups, and thus we solve an open problem of Zhuchok.