The description of dendriform algebra structures on two-dimensional complex space by M. Rikhsiboev, Ikrom, Sattarovich, Rakhimov Isamiddin, Basri, Witriany

“…In this paper, we classify all dendriform algebra structures on two-dimensional complex space. We distinguish twelve isomorphism classes (one parametric family and eleven concrete) of two-dimensional complex dendriform algebras, and show that they exhaust all possible cases. …”
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Aljabar p-Semisimpel = p-Semisimple Algebra by Perpustakaan UGM, i-lib

“…Motivated by some properties in the algebraic structure of Z, the set of all integers, with the binary operation "-" (substraction), it is constructed a new algebraic structure called BCI-algebra. …”

Beberapa Ulasan Baru Tentang Struktur Aljabar Tensor by Mohamad Zain, Shaharir, Mukhtar, Muriati

“…These being: the meaning of the equivalence of first order tensor with vector; the pull back and push forward structure, the structure of contraction of tensors, the inner product term, ds 2 as a differential and the algebraic structure of relative tensors and tensor densities.…”
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Development of Metamodels as Logical and Algebraic Systems by Mezhuyev, Vitaliy

“…The logical system for expressing domain specific knowledge is linked with an algebraic structure, defined at the meta-metamodel level. …”
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A novel soft rough set: Soft rough hemirings and corresponding multicriteria group decision making by Zhan, J., Liu, Q., Herawan, T.

“…It is pointed out that in this paper, we first apply soft rough sets to algebraic structure-hemirings. Further, we first put forward the concepts of C-soft sets and CC-soft sets, which provide a new research idea for soft rough algebraic research. …”

Mathematical aspects of selected block ciphers by Alqarni, Yazeed Saeed

“…The findings of the thesis can be divided into the following main contributions: an overview of the different types of block ciphers primitives are given, the block ciphers are explored in terms of their underlying algebraic structure operations, and the algebraic primitives used in block ciphers design are evaluated from their security and efficiency aspects and then compared with random substitution boxes (S-boxes). …”
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An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence by Koo, Lee Feng, Sarbini, Izzatul Nabila, Yiu, Pang Hung, Naning @ Zin, Fatin Hana, Wong, Tze Jin

“…Elliptic Curve Cryptography is a cryptography based on the algebraic structure of elliptic curves over finite fields. …”
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Improved Algebraic Cryptanalysis of the Reduced-Round Advanced Encryption Standard by Rezaeipour, Davood

“…We study AES specifications and also the algebraic structure for AES over Galois Fields GF(2) and GF(28). …”
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Bornological structures on some algebraic systems by Imran, Anwar Nooraldeen

“…This work concerns the notion of determining the boundedness of some algebraic structures such as groups and rings. Firstly, a new structure bornological semigroup is considered to determine the boundedness of algebraic structure semigroups. …”
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Algebraic study of fuzzy finite switchboard automata by Ebas, Nur Ain

“…Further, the general algebraic structure such as complete residuated lattices (CRL) has been utilized to enhance the membership grade of the fuzzy finite switchboard automata (FFSA). …”
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Enhancement of {0, 1, 3}-NAF Recoding Algorithm using Block Method Technique for Elliptic Curve Cryptosystem by Bafandehkar, Mohsen

“…Elliptic Curve Cryptosystem (ECC) is a type of public key cryptography (PKC) based on the algebraic structure of elliptic curve over finite fields. …”
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Classification of two-dimensional Jordan algebras over R by Hussein, Ahmed Houida Mohammed, Ural, Bekbaev, Rakhimov, Isamiddin Sattarovich

“…In the paper we describe all (not necessarily commutative) Jordan algebra structures on a two-dimensional vector space over R in terms of their matrices of structure constants.…”
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Four-dimensional nilpotent diassociative algebras by Basri, Witriany, Sattarovich, Rakhimov Isamiddin, Rikhsiboev, Ikrom M.

“…The list of all possible nilpotent diassociative algebra structures on four-dimensional complex vector spaces is given.…”
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Classification of 3-dimensional complex diassociative algebras by Rikhsiboev, Ikrom M., Rakhimov, samiddin Sattarovich, Basri, Witriany

“…In this paper we describe all diassociative algebra structure in complex vector space of dimension at most three. …”
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On two-dimensional power associative algebras over algebraically closed fields and R by Hussein Ahmed, Houida Mohammed, Bekbaev, U., Sattarovich, Rakhimov Isamiddin

“…In this paper we describe all power-associative algebra structures on a two-dimensional vector space over algebraically closed fields and ℝ. …”
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Fuzzy finite switchboard automata with complete residuated lattices by Ebas, Nur Ain, Amir Hamzah, Nor Shamsidah, Jacob, Kavikumar, Rusiman, Mohd Saifullah

“…The theory of fuzzy finite switchboard automata (FFSA) is introduced by the use of general algebraic structures such as complete residuated lattices in order to enhance the process ability of FFSA. …”

Some analysis on conjugacy search problem for Diffie-Hellman protocol by Jusoo, S. H., Mohamad, Mohd Sham, Sulaiman, Sahimel Azwal, Faisal, .

“…The field in nonabelian group-based cryptosystem have gain attention of the researchers as it expected to offers higher security when confronted with quantum computational due to more complex algebraic structures. Hence, this paper intents to give an overview on Diffie-Hellman protocol considering the mathematically hard problem such as the conjugacy search problem in a group G. …”
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Canonical groups for quantization on the two-dimensional sphere and one-dimensional complex projective space by Ahamad Sumadi, Ahmad Hazazi, Zainuddin, Hishamuddin

“…We explicitly show that the Lie algebra structures of both canonical groups are locally homomorphic. …”
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On degenerations and invariants of low-dimensional complex nilpotent Leibniz algebra by Mohamed, Nurul Shazwani, Said Husain, Sharifah Kartini, Yunos, Faridah

“…Throughout the paper we are dealing with mathematical background with abstract algebraic structures. The present paper is devoted to the degenerations of low-dimensional nilpotent Leibniz algebras over the field of complex numbers. …”
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On degenerations and invariants of low-dimensional complex nilpotent Leibniz algebras by Mohamed, Nurul Shazwani, Said Husain, Sharifah Kartini, Yunos, Faridah

“…Throughout the paper we are dealing with mathematical background with abstract algebraic structures. The present paper is devoted to the degenerations of low-dimensional nilpotent Leibniz algebras over the field of complex numbers. …”
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