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Pemrograman Komputer Matematika - Modul 2, Pengenalan Pascal

Pemrograman Komputer Matematika - Modul 1, Pemograman dan Algoritma

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TRANSLASI AUSLANDER-REITEN

<p style="margin: 1em 0px; color: #111111; font-family: Arial, Verdana, Helvetica, sans-serif; font-size: 11.2px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fafafa;">sequence in  is far from obvious. To see the presence of this sequence, we need to know Auslander-Reiten translations, as a functor composition between standart duality and transpotision. This sequences is useful in representation theory of algebras especially in formation of Auslander-Reiten Quiver. This paper will discuss about Auslander-Reiten translation and how to construct Auslander-Reiten translation from a module. . In the end of this paper we will see about main properties of this translation.</p><p style="margin: 1em 0px; color: #111111; font-family: Arial, Verdana, Helvetica, sans-serif; font-size: 11.2px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fafafa;"> </p><p style="margin: 1em 0px; color: #111111; font-family: Arial, Verdana, Helvetica, sans-serif; font-size: 11.2px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fafafa;">Key words : Auslander-Reiten translation, Auslander-Reiten sequences, Functor,</p><span style="color: #111111; font-family: Arial, Verdana, Helvetica, sans-serif; font-size: 11.2px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fafafa; display: inline !important; float: none;">                   Projective module</span>

KEBERADAAN TITIK TETAP PADA RUANG BANACH-2

<p style="margin: 1em 0px; color: #111111; font-family: Arial, Verdana, Helvetica, sans-serif; font-size: 11.2px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fafafa;">On finite dimensional, in this paper will show that 2-Banach Space is a Banach space. This is prove by use Cauchy sequence end convergence properties. Then will be show the e. xistence of fixed point in 2-banach space, with the first proving existence of fixed point in banach space.</p><p style="margin: 1em 0px; color: #111111; font-family: Arial, Verdana, Helvetica, sans-serif; font-size: 11.2px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fafafa;"><strong> </strong></p><p style="margin: 1em 0px; color: #111111; font-family: Arial, Verdana, Helvetica, sans-serif; font-size: 11.2px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fafafa;">Key words: banach space, banach space -2, fixed point</p>

BARISAN AUSLANDER-REITEN

<p>This paper introduces Auslander-Reiten Sequences in mod A, where A is a finite dimensional -algebra. We will also introduces almost split morphism, as a special form of morphisms, which will provide a natural way to present the form of Auslander-Reiten sequences. These sequences are particulary useful in representation theory of algebras.</p><p>Key words:<strong> </strong>almost split morphisms, , irreducible morphisms, almost split sequences </p>