A note on the support of a hypermodule

Druh výsledku
článek v časopise v databázi Web of Science

In this paper, we initiate the study of the notion of support of a hypermodule over a Krasner hyperring, providing several connections with the annihilator of such hypermodules. We concentrate on the similarities/difference between these concepts and the analogous ones from classical algebra (module theory). After defining and characterizing the support of a hypermodule (and in particular of a finitely generated hypermodule), by using the notion of length of a hypermodule, we determine the support of a quotient hypermodule containing only one maximal hyperideal.

Klíčová slova
Krasner hyperring
prime/maximal hyperideal
length of hypermodules
annihilator of hypermodules
support of hypermodules