SEQUENTIALLY PURE INJECTIVITY AND BAER TYPE CRITERIA FOR ACTS OVER SEMIGROUPS

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BARZEGAR H.; EBRAHIMI M.M.; MAHMOUDI M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Information Seminar Paper

Title

SEQUENTIALLY PURE INJECTIVITY AND BAER TYPE CRITERIA FOR ACTS OVER SEMIGROUPS

Author(s)

BARZEGAR H. | EBRAHIMI M.M. | MAHMOUDI M.

Keywords

PURE

SEQUENTIALLY PURE-INJECTIVE

SEQUENTIALLY COMPLETE

Abstract

ALTHOUGH THE BAER CRITERION FOR INJECTIVITY (IDEAL INJECTIVITY IMPLIES INJECTIVITY) IS TRUE FOR MODULES OVER A RING (WITH AN IDENTITY), IT IS AN OPEN PROBLEM FOR ACTS OVER A SEMIGROUP S (WITH OR WITHOUT IDENTITY). IN FACT, WE ARE NOT AWARE OF ANY TYPE OF WEAK INJECTIVITY IMPLYING INJECTIVITY OF S-ACTS, IN GENERAL, OTHER THAN SKORNJAKOV-BAER CRITERION, WHICH SAYS THAT INJECTIVITY WITH RESPECT TO SUBACTS OF CYCLIC ACTS IMPLIES INJECTIVITY WITH RESPECT TO ALL MONOMORPHISMS.

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APA: Copy

BARZEGAR, H., EBRAHIMI, M.M., & MAHMOUDI, M.. (2009). SEQUENTIALLY PURE INJECTIVITY AND BAER TYPE CRITERIA FOR ACTS OVER SEMIGROUPS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904417/en

Vancouver: Copy

BARZEGAR H., EBRAHIMI M.M., MAHMOUDI M.. SEQUENTIALLY PURE INJECTIVITY AND BAER TYPE CRITERIA FOR ACTS OVER SEMIGROUPS. 2009. Available from: https://sid.ir/paper/904417/en

IEEE: Copy

H. BARZEGAR, M.M. EBRAHIMI, and M. MAHMOUDI, “SEQUENTIALLY PURE INJECTIVITY AND BAER TYPE CRITERIA FOR ACTS OVER SEMIGROUPS,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904417/en

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