On Serre's Problem on Projective Semimodules over Polynomial Semirings
DOI10.1080/00927872.2013.804529zbMath1306.16044OpenAlexW2063724823MaRDI QIDQ2876262
Publication date: 18 August 2014
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2013.804529
projective semimodulesfree semimodulesdivision semiringscategories of semimodulespolynomial semirings\(\mathbb N\)-valued semirings\(p\)-Schreier varieties
Free, projective, and flat modules and ideals in associative algebras (16D40) Projectives and injectives (category-theoretic aspects) (18G05) Semirings (16Y60) Free algebras (08B20) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Injectives, projectives (08B30)
Related Items (5)
Cites Work
- Projective modules over group rings
- On the ranks of idempotent matrices over skew semifields
- On the applicability to semirings of two theorems from the theory of rings and modules.
- Cancellation of Azumaya algebras
- Toward homological characterization of semirings: Serre's conjecture and Bass's perfectness in a semiring context.
- Projective semimodules over semirings with valuations in nonnegative integers.
- Onp-Schreier Varieties of Semimodules
- On semimodules over commutative, additively idempotent semirings
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