Pengaruh Kenon-Unitalan Modul Terhadap Hasil Kali Tensor

Pembahasan tentang teori modul oleh [5] dibagi menjadi modul unital dan modul non unital. Grup Abel yang memenuhi aksioma untuk menjadi -modul kecuali aksioma unital disebut -modul non unital. Pada kenyataanya ring dengan elemen satuan tidak selalu menjamin bahwa aksioma unital modul tersebut dipenuhi. Dalam paper ini dijelaskan tentang hasil kali tensor dari modul non unital atas ring dengan elemen satuan. Beberapa sifat khusus seperti isomorfisma pada hasil kali tensor pada modul unital tidak dapat dipertahankan oleh modul non unital

QUOTIENT SEMINEAR-RINGS OF THE ENDOMORPHISM OF SEMINEAR-RINGS

A seminear-ring is a generalization of ring. In ring theory, if  is a ring with the multiplicative identity, then the endomorphism module  is isomorphic to . Let  be a seminear-ring. Here, we can construct the set of endomorphism from  to itself denoted by . We show that if  is a seminear-ring, then is also a seminear-ring over addition and composition function. We will apply the congruence relation to get the quotient seminear-ring endomorphism. Furthermore, we show the relation between c-ideal and congruence relations. So, we can construct the quotient seminear-ring endomorphism with a c-ideal

Classical Cryptography of Wind's Eye Cell Circles

This classic cryptographic algorithms was designed from the concept of cardinal directions and the S-box. circles Concept given 16 directions winds and 8 circles lined with each cells according to ASCII table. The process of encryption algorithm using two kinds of key symbol that are (k1) form 16 symbols of the wind, and (k2) is a 7-bit binary number. plaintext encryption process become chiperteks1 with forming angle against north wind and k1 roomates are from plaintext rotating accordance angle formed. Chipertext 1 to chipertext 2 using binary numbers divided become r1 as directions displacement away from the center circle and r2 move with rotating around the center circle. Spinning process followed directions clockwise circle if even if odd and vice versa. Decryption process is done by doing a backward on the algorithm by using the key k2 (r2 then r1) and then r1. Spins counter-encryption process. ©2016 JNSMR UIN Walisongo. All rights reserved

Classical Cryptography of Wind's Eye Cell Circles

This classic cryptographic algorithms was designed from the concept of cardinal directions and the S-box. circles Concept given 16 directions winds and 8 circles lined with each cells according to ASCII table. The process of encryption algorithm using two kinds of key symbol that are (k1) form 16 symbols of the wind, and (k2) is a 7-bit binary number. plaintext encryption process become chiperteks1 with forming angle against north wind and k1 roomates are from plaintext rotating accordance angle formed. Chipertext 1 to chipertext 2 using binary numbers divided become r1 as directions displacement away from the center circle and r2 move with rotating around the center circle. Spinning process followed directions clockwise circle if even if odd and vice versa. Decryption process is done by doing a backward on the algorithm by using the key k2 (r2 then r1) and then r1. Spins counter-encryption process. ©2016 JNSMR UIN Walisongo. All rights reserved

The Ideal Over Semiring of the Non-Negative Integer

Assumed that (S,+,.) is a semiring. Semiring is a algebra structure as a generalization of a ring. A set I⊆S is called an ideal over semiring S if for any α,β∈I, we have α-β∈I and sα=αs∈I for every s in semiring S.  Based on this definition, there is a special condition namely prime ideal P, when for any αβ∈P, then we could prove that α or β are elements of ideal P. Furthermore, an ideal I of S is irreducible if Ia is an intersection ideal from any ideal A and B on S, then I=A or I=B. We also know the strongly notion of the irreducible concept. The ideal I of S is a strongly irreducible ideal when I is a subset of the intersection of A and B (ideal of S), then I is a subset of A, or I is a subset of B. In this paper, we discussed the characteristics of the semiring of the non-negative integer set. We showed that pZ^+ is an ideal of semiring of the non-negative integer Z^+ over addition and multiplication. We find a characteristic that 〖pZ〗^+  is a prime ideal and also a strongly irreducible ideal of the semiring Z^+ with p is a prime number

RELATIONSHIP BETWEEN WEAK ENTWINING STRUCTURES AND WEAK CORINGS

Given a commutative ring with unit, -algebra and -coalgebra Triple is called (weak) entwining structure if there is -linear map that fulfil some axioms. In the other hand, from algebra and coalgebra we can consider as a left -module canonically such that is entwined structure if only if is a -coring. In particular, we obtain that is a weak entwined structure if only if is a weak -coring

KORING LEMAH (WEAK CORING)

Let be a ring with unit. An - non-unital bimodule is called weak coring provided it has a weak comultiplication and a weak counit As a generalization of coring and coaljabar, weak coring would have some properties like coring and coalgebra. For any coassociative weak -koring linear maps from to have ring (dual) structure. In the other hand, it is interesting that from any weak coring we can construct a coring. In this paper will be discussed about weak coring and some properties of weak coring

OBYEK GRUP DAN OBYEK KOGRUP DARI SEBUAH KATEGORI

. A category contained a classes of objects and morphism between two object. For any chategory with initial object, terminal object, product and coproduct can defined a special object i.e group object and cogroup object. Object group obtained from cathegory object which have fulfil definition like definition a group. The cogroup object is dual from group object