Linear transformation semigroups admitting nearring structure
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Title Linear transformation semigroups admitting nearring structure
Creator Ruanglak Jongchotinon
Contributor Sureeporn Chaopraknoi
Publisher Chulalongkorn University
Publication Year 2550
Keyword Near-rings
Abstract A system is called a left [right] nearring if (i) is a group, (ii) is a semigroup and (iii) for all A semigroup is said to admit a left [right] nearing structure if (1) is a left [right] nearing for some operation on where is the operation on or (2) is a left [right] nearing for some operation on where is the operation on Let be a vector space over a division ring and the semigroup under composition of all linear transformation By a linear transformation semigroup on we mean a subsemigroup of Various types of linear transformation semigroups are studied. We determine when they admit the structure of a left nearing and a right nearing.
URL Website cuir.car.chula.ac.th
Chulalongkorn University

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