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Title: n-Algebraic Complete Algebras, Pseudodirect Products, and the Algebraic Closure Operator on Subsets of Universal Algebras

Abstract

We introduce the notions of n-algebraic complete algebras and n-algebraic completeness, which makes it possible to find algebraic closures of subsets of universal algebras. We clarify how the n-algebraic completeness of an algebra is connected with the pseudodirect product of algebras.

Authors:
 [1]
  1. Novosibirsk State Technical University (Russian Federation)
Publication Date:
OSTI Identifier:
22771398
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 1; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGEBRA; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL OPERATORS

Citation Formats

Pinus, A. G., E-mail: ag.pinus@gmail.com. n-Algebraic Complete Algebras, Pseudodirect Products, and the Algebraic Closure Operator on Subsets of Universal Algebras. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3733-0.
Pinus, A. G., E-mail: ag.pinus@gmail.com. n-Algebraic Complete Algebras, Pseudodirect Products, and the Algebraic Closure Operator on Subsets of Universal Algebras. United States. doi:10.1007/S10958-018-3733-0.
Pinus, A. G., E-mail: ag.pinus@gmail.com. Sun . "n-Algebraic Complete Algebras, Pseudodirect Products, and the Algebraic Closure Operator on Subsets of Universal Algebras". United States. doi:10.1007/S10958-018-3733-0.
@article{osti_22771398,
title = {n-Algebraic Complete Algebras, Pseudodirect Products, and the Algebraic Closure Operator on Subsets of Universal Algebras},
author = {Pinus, A. G., E-mail: ag.pinus@gmail.com},
abstractNote = {We introduce the notions of n-algebraic complete algebras and n-algebraic completeness, which makes it possible to find algebraic closures of subsets of universal algebras. We clarify how the n-algebraic completeness of an algebra is connected with the pseudodirect product of algebras.},
doi = {10.1007/S10958-018-3733-0},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}