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Ideals of largest weight in constructions based on directed graphs

Journal Article


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Abstract


  • We introduce a new construction based on directed graphs. It provides a common generalization of the incidence rings and Munn semirings. Our main theorem describes all ideals of the largest possible weight in this construction. Several previous results can be obtained as corollaries to our new main theorem.

UOW Authors


  •   Kelarev, A V. (external author)
  •   Susilo, Willy
  •   Miller, Mirka (external author)
  •   Ryan, Joe (external author)

Publication Date


  • 2016

Citation


  • Kelarev, A. V., Susilo, W., Miller, M. & Ryan, J. (2016). Ideals of largest weight in constructions based on directed graphs. Bulletin of Mathematical Sciences and Applications, 15 8-16.

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=6699&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5671

Number Of Pages


  • 8

Start Page


  • 8

End Page


  • 16

Volume


  • 15

Abstract


  • We introduce a new construction based on directed graphs. It provides a common generalization of the incidence rings and Munn semirings. Our main theorem describes all ideals of the largest possible weight in this construction. Several previous results can be obtained as corollaries to our new main theorem.

UOW Authors


  •   Kelarev, A V. (external author)
  •   Susilo, Willy
  •   Miller, Mirka (external author)
  •   Ryan, Joe (external author)

Publication Date


  • 2016

Citation


  • Kelarev, A. V., Susilo, W., Miller, M. & Ryan, J. (2016). Ideals of largest weight in constructions based on directed graphs. Bulletin of Mathematical Sciences and Applications, 15 8-16.

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=6699&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5671

Number Of Pages


  • 8

Start Page


  • 8

End Page


  • 16

Volume


  • 15