Geodesic
Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity
Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 465-485

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

A description of commutative semigroups whose lattice of subsemigroups satisfies a nontrivial identity is obtained. In particular, an affirmative answer is given to a question of L. N. Shevrin on periodicity of an arbitrary semigroup whose lattice of subsemigroups satisfies a nontrivial identity. As a corollary of the technique developed herein a number of lattice-theoretic facts (known, as well as new) are also obtained. Figures: 1. Bibliography: 11 titles. 
@article{SM_1990_65_2_a9,
     author = {V. B. Repnitskii and S. I. Katsman},
     title = {Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity},
     journal = {Sbornik. Mathematics},
     pages = {465--485},
     publisher = {mathdoc},
     volume = {65},
     number = {2},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1990_65_2_a9/}
}
TY  - JOUR
AU  - V. B. Repnitskii
AU  - S. I. Katsman
TI  - Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity
JO  - Sbornik. Mathematics
PY  - 1990
SP  - 465
EP  - 485
VL  - 65
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1990_65_2_a9/
LA  - en
ID  - SM_1990_65_2_a9
ER  - 
%0 Journal Article
%A V. B. Repnitskii
%A S. I. Katsman
%T Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity
%J Sbornik. Mathematics
%D 1990
%P 465-485
%V 65
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1990_65_2_a9/
%G en
%F SM_1990_65_2_a9
V. B. Repnitskii; S. I. Katsman. Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity. Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 465-485. http://geodesic.mathdoc.fr/item/SM_1990_65_2_a9/