SOME CLASSIFICATIONS OF MONOIDS BY VARIOUS NOTIONS OF INJECTIVITY OF ACTS
Publish place: Journal of Algebraic Systems، Vol: 8، Issue: 2
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-8-2_003
تاریخ نمایه سازی: 7 بهمن 1399
Abstract:
This paper is a continuation of recent researches concerning generalization of injectivity of acts over moniods, namely, C-injectivity and InD-injectivity. We introduce new kinds of injectivity, such as, LC-injectivity and CQ-injectivity. Classications of monoids by properties of these kinds of injective acts are presented. It is proved that a monoid S is completely (cyclic) injective if and only if it is completely quasi (CQ-) injective. Some results on quasi-injective acts are proved. Also new characterizations for right hereditary monoids and right PP-monoids are given.
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Authors
M. Roueentan
Lamerd Higher Education Center, Lamerd, Iran.
M. Ershad
Department of Mathematics, College of Sciences,
M. A. Naghipoor
Department of Mathematics, Jahrom University,