<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "ON PRIMENESS OF PATH ALGEBRAS OVER A\r\nUNITAL COMMUTATIVE RING"^^ . "In this paper, we first discuss the primeness of basic ideals in a free\r\nR-algebra where R is a unital commutative ring. The condition of\r\nprimeness is applied to show a prime basic ideal in a path algebra RE\r\non a graph E. For every hereditary subset H, we can construct a\r\n(graded) basic ideal IH in RE. The basic ideal IH is an ideal of linear\r\ncombinations of vertices in H and paths whose ranges in H. The\r\nmain purpose of this paper is to present the necessary and sufficient\r\nconditions on a graph, so that IH is a prime basic ideal, if H is saturated hereditary. Since ∅ is saturated hereditary, we find the\r\nnecessary and sufficient conditions on a graph, so that a path algebra\r\nRE is basically prime."^^ . "2014-10" . . "34" . "2" . . "Pushpa Publishing House"^^ . . . "JP Journal of Algebra, Number Theory and Applications"^^ . . . "09725555" . . . . . . . . . . . . . "Sri"^^ . "Wahyuni"^^ . "Sri Wahyuni"^^ . . "Indah"^^ . "Wijayanti"^^ . "Indah Wijayanti"^^ . . "Khurul"^^ . "Wardati"^^ . "Khurul Wardati"^^ . . . . . . "ON PRIMENESS OF PATH ALGEBRAS OVER A\r\nUNITAL COMMUTATIVE RING (Text)"^^ . . . . . "JPANTA-2014-SCOPUS-an.KHURUL.pdf"^^ . . . "ON PRIMENESS OF PATH ALGEBRAS OVER A\r\nUNITAL COMMUTATIVE RING (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "ON PRIMENESS OF PATH ALGEBRAS OVER A\r\nUNITAL COMMUTATIVE RING (Other)"^^ . . . . . . "preview.jpg"^^ . . . "ON PRIMENESS OF PATH ALGEBRAS OVER A\r\nUNITAL COMMUTATIVE RING (Other)"^^ . . . . . . "medium.jpg"^^ . . . "ON PRIMENESS OF PATH ALGEBRAS OVER A\r\nUNITAL COMMUTATIVE RING (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #37246 \n\nON PRIMENESS OF PATH ALGEBRAS OVER A \nUNITAL COMMUTATIVE RING\n\n" . "text/html" . . . "Matematika"@id . .