On Exact Sequence of Semimodules over Semirings | Zendy

Jayprakash Ninu Chaudhari | Zendy; Dipak Ravindra Bonde | Zendy

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On Exact Sequence of Semimodules over Semirings

Author(s) -

Jayprakash Ninu Chaudhari,

Dipak Ravindra Bonde

Publication year - 2013

Publication title -

isrn algebra

Language(s) - English

Resource type - Journals

eISSN - 2090-6293

pISSN - 2090-6285

DOI - 10.1155/2013/156485

Subject(s) - homomorphism , mathematics , exact sequence , sequence (biology) , commutative property , algebra over a field , diagram , combinatorics , pure mathematics , statistics , genetics , biology

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.

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