FP-injective semirings, semigroup rings and Leavitt path algebras
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DOI: 10.1080/00927872.2016.1226862
Abstract: ABSTRACT In this paper we give characterisations of FP-injective semirings (previously termed “exact” semirings in work of the first author). We provide a basic connection between FP-injective semirings and P-injective semirings, and establish that FP-injectivity… read more here.
Keywords: semirings semigroup; injective semirings; leavitt path; semigroup rings ... See more keywords
The Cohen-Macaulay property of affine semigroup rings in dimension 2
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DOI: 10.1080/00927872.2018.1546392
Abstract: Abstract Consider the subring of , where k is a field and x, y indeterminates over k. We calculate the Hilbert polynomial of . The multiplicity of this ideal provides part of a criterion for… read more here.
Keywords: affine semigroup; cohen macaulay; macaulay; property affine ... See more keywords
Two semigroup rings associated to a finite set of meromorphic functions
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DOI: 10.1515/ms-2017-0428
Abstract: Abstract We fix z0 ∈ ℂ and a field ???? with ℂ ⊂ ???? ⊂ ????z0 := the field of germs of meromorphic functions at z0. We fix f1, …, fr ∈ ????z0 and we… read more here.
Keywords: associated finite; meromorphic functions; text; semigroup rings ... See more keywords