Geodesic
On representation type of a~pair of posets with involution
Algebra and discrete mathematics, no. 1 (2005), pp. 1-7.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we consider the problem on classifying the representations of a pair of posets with involution. We prove that if one of these is a chain of length at least 4 with trivial involution and the other is with nontrivial one, then the pair is tame $\Leftrightarrow$ it is of finite type $\Leftrightarrow$ the poset with nontrivial involution is a $*$-semichain ($*$ being the involution). The case that each of the posets with involution is not a chain with trivial one was considered by the author earlier. In proving our result we do not use the known technically difficult results on representation type of posets with involution.
Keywords: wild, representation, category.
Mots-clés : semichain, tame 
@article{ADM_2005_1_a1,
     author = {Vitalij M. Bondarenko},
     title = {On representation type of a~pair of posets with involution},
     journal = {Algebra and discrete mathematics},
     pages = {1--7},
     publisher = {mathdoc},
     number = {1},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2005_1_a1/}
}
TY  - JOUR
AU  - Vitalij M. Bondarenko
TI  - On representation type of a~pair of posets with involution
JO  - Algebra and discrete mathematics
PY  - 2005
SP  - 1
EP  - 7
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2005_1_a1/
LA  - en
ID  - ADM_2005_1_a1
ER  - 
%0 Journal Article
%A Vitalij M. Bondarenko
%T On representation type of a~pair of posets with involution
%J Algebra and discrete mathematics
%D 2005
%P 1-7
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2005_1_a1/
%G en
%F ADM_2005_1_a1
Vitalij M. Bondarenko. On representation type of a~pair of posets with involution. Algebra and discrete mathematics, no. 1 (2005), pp. 1-7. http://geodesic.mathdoc.fr/item/ADM_2005_1_a1/