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arXiv · 1907.06047

Semimodules over commutative semirings and modules over unitary commutative rings

Ivan Chajda·Helmut Länger
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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.

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Ivan Chajda, Helmut Länger. 2019-07-13. Semimodules over commutative semirings and modules over unitary commutative rings. https://arxiv.org/abs/1907.06047

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