Preradical and kernel functors over categories of S−acts

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• ISSN: 1726-3255
• Main Authors: Komarnitskiy, M., Oliynyk, R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154585
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Preradical and kernel functors over categories of S−acts / M. Komarnitskiy, R. Oliynyk // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 57–66. — Бібліогр.: 12 назв. — англ.

We concider the big lattices of preradicals and kernel functors over some cathegories of centered S−acts, where S is monoid whit zero. We prove that those big lattices are two elements if and only if monoid S− is groups with zero. A subset of a Rees generated pretorsion theory is a subquantale of qu...