Geodesic
A note of a family of quasi-antiorders on semigroup
Kragujevac Journal of Mathematics, Tome 27 (2005), p. 11

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Zbl
A NOTE OF A FAMILY OF QUASI-ANTIORDERS ON SEMIGROUP Daniel Abraham Romano Faculty of Natural Sciences and Mathematics, 78000 Banja Luka, Bosnia and Herzegovina (e-mails: bato49@hotmail.com)(Received February 7, 2005) Abstract. Let (S,=, � ,·,s) be an ordered semigroup under an antiorder s. If S is a subdirect product of the ordered semigroup {Si: i � I }, then there exists a family {si : i � I} of quasi-antiorders on S which separates the elements of S. Conversely, if {si : i � I } is a family of quasi-antiorders on S which separates the elements if S, then S is a subdirect product of the ordered semigroups {S / (si �(si)-1): i � I }.
Classification : 03F65 06F05
Keywords: constructive algebra, antiorder, quasi-antiorder, isotone mapping, reverse isotone mapping, subdirect product, separation of elements of semigroup 
Daniel Abraham Romano. A note of a family of quasi-antiorders on semigroup. Kragujevac Journal of Mathematics, Tome 27 (2005), p. 11 . http://geodesic.mathdoc.fr/item/KJM_2005_27_a1/
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     title = {A note of a family of quasi-antiorders on semigroup},
     journal = {Kragujevac Journal of Mathematics},
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     year = {2005},
     volume = {27},
     zbl = {1224.03037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2005_27_a1/}
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