[图书][B] Function algebras on finite sets: Basic course on many-valued logic and clone theory

D Lau - 2006 - books.google.com
Functions which are defined on finite sets occur in almost all fields of mathematics. For more
than 80 years algebras whose universes are such functions (so-called function algebras) …

Flocks, groups and heaps, joined with semilattices

A Knoebel - Quasigroups and Related Systems, 2016 - ibn.idsi.md
This article describes the lattice of varieties generated by those of flocks and near heaps.
Flocks and heaps are two ways of presenting groups by a ternary operation rather than a …

[PDF][PDF] О замкнутых классах функций многозначной логики, порожденных симметрическими функциями

АВ Михайлович - Математические вопросы кибернетики, 2013 - mech.math.msu.su
Защита диссертации состоитсÿ 2 октÿбрÿ 2009 г. в 16 ч. 45 мин. на заседании
диссертационного совета Д. 501.001. 84 при Московском государственном …

Congruence preserving operations on the ring

C Gavala, M Ploščica, I Varga - Mathematica Bohemica, 2023 - dml.cz
We investigate the interval $ I (p^ 3) $ in the lattice of clones on the ring $\mathbb {Z} _ {p^ 3}
$ between the clone of polynomial operations and the clone of congruence preserving …

Clones of Compatible Operations on Rings Z_ {p^ k}

M Ploščica, I Varga - arXiv preprint arXiv:2007.14063, 2020 - arxiv.org
We investigate the lattice I (n) of clones on the ring Z_n between the clone of polynomial
functions and the clone of congruence preserving functions. The crucial case is when n is a …

On affine modules

Á Szendrei - Contributions to Universal Algebra, 1977 - Elsevier
Publisher Summary This chapter elaborates different aspects of affine modules. It discusses
the reducts of modules. The chapter presents the characterization of certain reducts of …

[PDF][PDF] Finite Closed Sets of Functions in Multi-Valued Logic

MA Malkov - Pure and Appl. Math J, 2017 - academia.edu
The article is devoted to classification of closed sets of functions in k-valued logic. We build
the classification of finite closed sets. The sets contain only constants and one-ary functions …

[PDF][PDF] Polynomials in algebras of linear forms

H van Maaren, HJP De Smet - Indagationes Mathematicae (Proceedings …, 1981 - core.ac.uk
Iterating a set of R-linear forms (R denotes a commutative ring with 1) one obtains new such
forms. For example, starting withf (x, y)= xY, one obtains gCw, z)= fUW9,~ CW))=~-~ Y+ Z …

Abelian groups

AP Mishina - Journal of Soviet Mathematics, 1982 - Springer
In the present, third survey of reviews of articles on Abelian groups are included papers
reviewed during 1972–1978. Here, as in the previous surveys, the questions concerning …

[PDF][PDF] О КЛАССАХ ФУНКЦИЙ МНОГОЗНАЧНОЙ ЛОГИКИ, ЗАМКНУТЫХ ОТНОСИТЕЛЬНО УСИЛЕННОЙ ОПЕРАЦИИ СУПЕРПОЗИЦИИ

ВВ Кочергин - mech.math.msu.su
Настоящая работа относится к одному из основных направлений дискретной
математики и математической кибернетики—теории функциональных систем [27, 83 …