<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Multi-polar space is a generalization of the notion of vector space. In this paper, we deal with a three-polar vector space over a semi-field of double (hyperbolic complex) numbers. We introduce and study operations of addition and multiplication such that they form a commutative ring with unit on the three-polar space</p></abstract>

Multi-polar space is a generalization of the notion of vector space. In this paper, we deal with a three-polar vector space over a semi-field of double (hyperbolic complex) numbers. We introduce and study operations of addition and multiplication such that they form a commutative ring with unit on the three-polar space

Three-Polar Space Over the Semi-Field of Double Numbers

Mathematical Institute Slovak Academy of Sciences extension in Košice Grešákova 6 040 01 Košice SLOVAKIA

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Three-Polar Space Over the Semi-Field of Double Numbers"}

Multi-polar space is a generalization of the notion of vector space. In this paper, we deal with a three-polar vector space over a semi-field of double...

Three-Polar Space Over the Semi-Field of Double Numbers

Published Online: Mar 11, 2015

Page range: 163 - 173

Received: Dec 12, 2014

DOI: https://doi.org/10.2478/tmmp-2014-0034

Keywords
multi-polar space, semi-field, double numbers

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Three-Polar Space Over the Semi-Field of Double Numbers

Published Online: Mar 11, 2015

Page range: 163 - 173

Received: Dec 12, 2014

DOI: https://doi.org/10.2478/tmmp-2014-0034

Keywordsmulti-polar space, semi-field, double numbers

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
multi-polar space, semi-field, double numbers