On Exact Sequence of Semimodules over Semirings
Jayprakash Ninu Chaudhari, Dipak Ravindra Bonde · ISRN Algebra · 2013
We introduce the notion of exact sequence of semimodules over semirings using maximal homomorphisms and generalize some results of module theory to semimodules over semirings. Indeed, we prove, “If is a split exact sequence of -semimodules and maximal -semimodule homomorphisms with is a strong subsemimodule of , then ”. Also, some results of commutative diagram of -semimodules and maximal -homomorphisms having exact rows are obtained.