Lattice structures in ternary semigroup of mappings

被引：0
|
作者：
S. Kar
A. Roy
S. Purkait
机构：
[1] Jadavpur University,Department of Mathematics
[2] Department of Mathematics,undefined
[3] Sree Chaitanya College,undefined
来源：
Afrika Matematika | 2022年 / 33卷
关键词：
Ternary semigroup of mappings; Partially ordered ternary semigroup; Lattice; Complete lattice; Modular lattice; Distributive lattice; Boolean lattice; 20M12; 20M99;
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摘要：
In this paper we present a construction for partial order in T[X, Y] which is called the ternary semigroup of mappings, derived from the partial orders defined in X and Y. Mainly we study various lattice structures in T[X, Y]. The last section deals with the lattice isomorphism problems and the notion of partially ordered ternary semigroup in T[X, Y].
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