Universal property of skew PBW extensions

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• Main Authors: Acosta, J,.P., Lezama, O.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154757
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Universal property of skew PBW extensions / J,.P. Acosta, O. Lezama // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 1. — С. 1-12 . — Бібліогр.: 10 назв. — англ.

In this paper we prove the universal property of skew $PBW$ extensions generalizing this way the well known universal property of skew polynomial rings. For this, we will show first a result about the existence of this class of non-commutative rings. Skew $PBW$ extensions include as particular examp...