Semimodules over commutative semirings and modules over unitary commutative rings
Rings and Algebras
2019-07-16 v1
Abstract
We study the so-called closed and splitting subsemimodules and submodules of a given semimodule or module, respectively. We describe lattices of subsemimodules and of closed subsemimodules and posets of splitting subsemimodules and submodules. In the case of modules a natural bijective correspondence between these posets and posets of projections is established.
Cite
@article{arxiv.1907.06047,
title = {Semimodules over commutative semirings and modules over unitary commutative rings},
author = {Ivan Chajda and Helmut Länger},
journal= {arXiv preprint arXiv:1907.06047},
year = {2019}
}