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Y.D Sumanto
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Mathematics

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GRUP – Γ DUAL DARI SUATU GRUP–Γ Sumanto, Y.D
MATEMATIKA Vol 15, No 1 (2012): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

On  of   can be considered as binary operation on . If there are  such that  is a group, then for any ,  is also a group and S  called as   . Otherwise for every element of  can be considered as binary operation on   . There are  such that  is - group and every is a group, troughout in this paper  is called  as dual group from  
EKUIVALENSI INTEGRAL BOCHNER DENGAN INTEGRAL MCSHANE KUAT UNTUK FUNGSI DENGAN NILAI DI DALAM RUANG BANACH Sumanto, Y.D
MATEMATIKA Vol 4, No 3 (2001): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Integral  McShane  fungsi-fungsi  bernilai  real  ekuivalen  dengan  Integral  Lebesque,  namun  untuk  fungsi  bernilai  vektor  tidak  selalu  demikian.  Dapat  ditunjukkan  bahwa  Integral  Bochner  (Integral  Lebesque  untuk  fungsi  bernilai  vektor)  ekuivalen  dengan  Integral  McShane  kuat.
SEMIGRUP – Γ YANG DIBANGKITKAN DARI SUATU SEMIGRUP Sumanto, Y.D
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Every Element on semigroup   can be regarded as binary operation on . Furthermore every element semigroup  can be defined a binary operation on , if   is set of binary operation that is defined from element semigroup , then  can be formed become semigroup .
ESSENTIALLY SMALL RIEMANN SUMS FUNGSI TERINTEGRAL HENSTOCK-DUNFORD PADA [a,b] ., Solikhin; Sumanto, Y.D; Khabibah, Siti
MATEMATIKA Vol 17, No 2 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this paper we study Henstock-Dunford integral on [a,b]. We discuss some properties of the integrable. We shall define essentially small Riemann sums (ESRS)  and show that it is necessary and sufficient condition for function to be Henstock-Dunford integral on [a,b].
GRUP GAMMA PADA KELAS-KELAS EKUIVALENSI G(S) Sumanto, Y.D
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Finite set S with n element can be operated by binary operation. In this paper if is set of binary operation on S that formed as a group, then can be partioned as unintersection classes and every class can be construct as over S.
SYARAT PERLU DAN CUKUP INTEGRAL HENSTOCK-BOCHNER DAN INTEGRAL HENSTOCK-DUNFORD PADA [a,b] Solikhin, Solikhin; Hariyanto, Susilo; Sumanto, Y.D; Aziz, Abdul
MATEMATIKA Vol 20, No 1 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we study Henstock-Bochner and Henstock-Dunford integral on [a,b]. We discuss some properties of  the integrable. For every function which Henstock-Bochner integrable then it is Hentsock-Dunford integrable. The contrary is not true. Further more, let for any  and collection  is Henstock-equi-integrable. We will show that function   is Henstock-Bochner  integrable on   if only if  it is Henstock-Dunford integrable on .
ELEMEN PEMBANGUN T DALAM SEMIGRUP - T Sumanto, Y.D
MATEMATIKA Vol 4, No 2 (2001): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Misalkan M himpunan tak kosong dan G himpunan operasi biner assosiatif pada M. Jika untuk setiap  a, b  Î G dan untuk setiap  x, y,z  Î M  berlaku  (xay) bz = xa(ybz), maka M disebut  semigrup-G. Dalam tulisan ini akan ditunjukkan bahwa jika a Î G dan untuk setiap x Î M ada y, z Î M sedemikian hingga x = yaz, maka untuk setiap b Î G ada b Î M sedemikian hingga  b  =  aba.
FUNGTOR KOVARIAN PADA KATEGORI Soleh Munawir; Y.D Sumanto
Jurnal Matematika Vol 2, No 1 (2013): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

Fungtor kovarian merupakan pemetaan dari kategori ke kategori. Akibat dari kategori yang memuat kelas dari obyek-obyek dan morfisma, fungtor kovarian akan memetakan obyek ke obyek dan morfisma ke morfisma. Di sisi lain, fungtor kovarian juga merupakan pemetaan sehingga mempunyai sifat-sifat seperti pada pemetaan yakni injektif, surjektif dan bijektif. Untuk fungtor kovarian dengan pemetaan morfisma bersifat injektif, surjektif dan bijektif secara berturut-turut disebut dengan fungtor kovarian yang faithful, full, fully faithful.
Co-Authors Abdul Aziz Siti Khabibah Soleh Munawir Solikhin Solikhin Solikhin Solikhin susilo hariyanto