|
|
|
Vietnam Journal of Mathematics 36:4(2008)
415-426
|
|
Prime Ideals of Group Graded Semirings and Their
Smash Products
|
|
Ram Parkash Sharma
and Rosy Joseph
|
|
Abstract. From an algebraic point of view,
semirings provide the most natural generalization of group theory and ring
theory. In the absence of additive inverses, one has to impose some weaker
versions of additive inverses on semirings. This paper generalizes some
ring theoretic results of M. Cohen and S. Montgomery [1] for the additively
cancellative and yoked semirings.
|
|
|
|
2000 Mathematics Subject Classification: Primary 16Y60;
Secondary 16Y99.
|
|
Keywords: Graded prime ideals, incomparability,
semirings, smash products.
|
|
|
|
Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
|
|
