Some remarks on tensor products and flatness of semimodules

Jawad Y. Abuhlail

doi:10.1007/s00233-014-9566-3

Some remarks on tensor products and flatness of semimodules

Jawad Y. Abuhlail

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Using a restrictive notion of exactness and the natural tensor product, we generalize several results related to flat modules over rings to flat semimodules over semirings.

Original language	English
Pages (from-to)	732-738
Number of pages	7
Journal	Semigroup Forum
Volume	88
Issue number	3
DOIs	https://doi.org/10.1007/s00233-014-9566-3
State	Published - May 2014

Bibliographical note

Funding Information:
The author would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No. FT100004.

Keywords

Exact sequences
Flat semimodules
Semimodules
Semirings
Tensor products

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s00233-014-9566-3

Cite this

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title = "Some remarks on tensor products and flatness of semimodules",

abstract = "Using a restrictive notion of exactness and the natural tensor product, we generalize several results related to flat modules over rings to flat semimodules over semirings.",

keywords = "Exact sequences, Flat semimodules, Semimodules, Semirings, Tensor products",

author = "Abuhlail, \{Jawad Y.\}",

note = "Funding Information: The author would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum \& Minerals (KFUPM) for funding this work through project No. FT100004. ",

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AU - Abuhlail, Jawad Y.

N1 - Funding Information: The author would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No. FT100004.

PY - 2014/5

Y1 - 2014/5

N2 - Using a restrictive notion of exactness and the natural tensor product, we generalize several results related to flat modules over rings to flat semimodules over semirings.

AB - Using a restrictive notion of exactness and the natural tensor product, we generalize several results related to flat modules over rings to flat semimodules over semirings.

KW - Exact sequences

KW - Flat semimodules

KW - Semimodules

KW - Semirings

KW - Tensor products

UR - https://www.scopus.com/pages/publications/84901636364

U2 - 10.1007/s00233-014-9566-3

DO - 10.1007/s00233-014-9566-3

M3 - Article

AN - SCOPUS:84901636364

SN - 0037-1912

VL - 88

SP - 732

EP - 738

JO - Semigroup Forum

JF - Semigroup Forum

IS - 3

ER -

Some remarks on tensor products and flatness of semimodules

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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