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Title
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بررسي ويژگي هاي همواري $S$-سيستم هاي مرتب جزيي تجزيه ناپذير
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Type
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Thesis
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Keywords
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S-poset, cyclic, S-poset, flat, po-flat,semilattice, atomic monoid, indecomposable.
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Abstract
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The theory of systems over monoids has been investigated over than four decades. From the other side such algebraic structures endowed with orders, have been investigated as a generalization of systems, which the class of such algebraic structures together with order and monoid action preserving mappings constitutes a category. The main issue in this thesis concentrates on flatness properties of indecomposable S-posets for a monoid S, in particular cyclic S-posets. In short, in this thesis we present homological classification of monoids according to the flatness properties of indecomposable S-posets.
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Researchers
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مجتبی صداقت جو (Primary advisor) , Saeed Rasoli (Advisor)
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