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Some Studies on a Class of U-rpp Semigroups

Author: FengNa
Tutor: RenXueMing
School: Xi'an University of Architecture and Technology
Course: Applied Mathematics
Keywords: Left U-rpp semigroup U- left cancellative semigroup Replacement Identities Weak spined product
CLC: O152.7
Type: Master's thesis
Year: 2010
Downloads: 23
Quote: 0
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Abstract


In recent years , various types of generalized regular semigroup research by many scholars concern as abundant semigroups promote the U- semiabundant group and its sub- class research, has become an important topic in the semigroup algebra theory research Let S be a semigroup , E (S) S idempotent set U is a subset of E (S) semigroup S is called the U- semiabundant group of S each LU- contain the projected $ S class and RU - class , usually denoted S ( S, U ) U - semiabundant semigroup (S, U) is called U- abundant semigroup (S, U) meet congruence conditions , ie LU (S, U) on the right congruence , RU to ( S , U ) on the left congruence paper mainly studies the two types of U- rich semigroup : left U-rpp semigroup PI-U-rpp semigroup . Firstly, research the projected $ containing left- center U-rpp semigroup , that left U-rpp semigroup . U-rpp semigroups called left U-rpp semigroup if U is a zone, and for any x , y ∈ S1 , y ≠ 1 , e ∈ U , there xey = exy this section first left U-rpp semigroup concepts and basic nature , then such semigroups algebraic structure of a semigroup (S, U) is a left U-rpp semigroup if and only if (S, U) is U- direct product of elimination the monoid and right zero with semilattice left ; when and only when the (S, U) is U- - left can eliminate monoid and right zero with the direct product of strong half- lattice . papers last study to meet replacement constant equation of U-rpp semi- group , ie PI-U-rpp half group allow by defining such semigroup on a L- PI-U-rpp semigroup congruences established of such semigroups algebra structure proved a U-rpp semigroup if and only if (S , U) is isomorphic to a left regular U-rpp semigroup and a right normal band weak spined product .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory > Promotion of group
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