# 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:

- 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}

}

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