Journal article
Annihilator-semigroups and rings
Houston Journal of Mathematics, Vol.34(4), pp.985-996
2008
Abstract
Let R be a commutative ring with 1. We define R to be an annihilator-semigroup ring if R has an annihilator-semigroup 5, that is, (5, ·) is a multiplicative subsemigroup of (R, ·) with the property that for each r ∈ R there exists a unique s ∈ S with 0 : r = 0 : s. The quotient monoid R/≡ where a ≡ b ⇔ 0 : a = 0 : b is called the annihilator congruence semigroup of R. If S is an annihilator-semigroup for R, then S ≈ R/≡. In this paper we investigate annihilator-semigroups, annihilator congruence semigroups, and annihilator-semigroup rings. © 2008 University of Houston.
Details
- Title: Subtitle
- Annihilator-semigroups and rings
- Creators
- D.D. AndersonS. Chun
- Resource Type
- Journal article
- Publication Details
- Houston Journal of Mathematics, Vol.34(4), pp.985-996
- ISSN
- 0362-1588
- Language
- English
- Date published
- 2008
- Academic Unit
- Mathematics
- Record Identifier
- 9984230627202771
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