Affine Near-Semirings Over Brandt Semigroups |
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| Authors: | Jitender Kumar |
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| Institution: | Department of Mathematics , Indian Institute of Technology Guwahati , Guwahati , India |
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| Abstract: | In order to study the structure of A +(B n )—the affine near-semiring over a Brandt semigroup—this work completely characterizes the Green's classes of its semigroup reducts. In this connection, this work classifies the elements of A +(B n ) and reports the size of A +(B n ). Further, idempotents and regular elements of the semigroup reducts of A +(B n ) have also been characterized and studied some relevant semigroups in A +(B n ). |
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| Keywords: | Affine maps Brandt semigroup Green's relations Near-semiring Semigroup structure |
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