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On Partitioning and Subtractive Subsemimodules of Semimodules over Semirings
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  • Journal title : Kyungpook mathematical journal
  • Volume 50, Issue 2,  2010, pp.329-336
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2010.50.2.329
 Title & Authors
On Partitioning and Subtractive Subsemimodules of Semimodules over Semirings
Chaudhari, Jaiprakash Ninu; Bond, Dipak Ravindra;
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 Abstract
In this paper, we introduce a partitioning subsemimodule of a semimodule over a semiring which is useful to develop the quotient structure of semimodule. Indeed we prove : 1) The quotient semimodule M=N(Q) is essentially independent of choice of Q. 2) If f : M M' is a maximal R-semimodule homomorphism, then . 3) Every partitioning subsemimodule is subtractive. 4) Let N be a Q-subsemimodule of an R-semimodule M. Then A is a subtractive subsemimodule of M with if and only if is a subtractive subsemimodule of .
 Keywords
semimodule;subtractive subsemimodule;partitioning subsemimodule;quotient semimodule;maximal homomorphism;isomorphism;
 Language
English
 Cited by
1.
ON SUBTRACTIVE EXTENSION OF SUBSEMIMODULES OF SEMIMODULES,;;

충청수학회지, 2013. vol.26. 1, pp.37-44 crossref(new window)
1.
ON SUBTRACTIVE EXTENSION OF SUBSEMIMODULES OF SEMIMODULES, Journal of the Chungcheng Mathematical Society, 2013, 26, 1, 37  crossref(new windwow)
2.
On Exact Sequence of Semimodules over Semirings, ISRN Algebra, 2013, 2013, 1  crossref(new windwow)
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